In 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. In 1999, tuition had risen to $221 per credit hour. Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990 C(x)= *answer here*

Answers

Answer 1

Answer:

The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95

Step-by-step explanation:

A linear function is a polynomial function of the first degree that has the following form:

y= m*x + b

where

m is the slope of the function n is the ordinate (at the origin) of the function

So, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.

Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:

[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]

In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:

x1= 1990y1= 95x2= 1999y2= 221

So the value of m is:

[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]

[tex]m=\frac{126}{9}[/tex]

m= 14

So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:

221= 14*(1999 - 1990) + b

221= 14*9 +b

221= 126 + b

221 - 126= b

95= b

Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95


Related Questions

Help 4,5 and ,6 please

Answers

Answer:

i only know 4 number only

Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?

Answers

Answer:

BC = 12

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

ΔABD ~ ΔBCD

The ratios of corresponding sides:

AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108

On the other hand:

BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12

A circle is centered on point B. Points A C and D lie on its circumference.
If angle ABC measures 124°, what does ADC measure?

Answers

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

THANK FOR HELPING REALLY APPRECIATE IT FINDING X ON A TRIANGLE

Answers

Answer:

37deg

Step-by-step explanation:

Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent​

Answers

Answer:

Here,

C.P.=RS 640

S.P.=RS 672

Now,

we know that,

profit= S.P. - C.P.

= rs 672- rs 640

= rs 32.

and,

p % = profit/c.p *100

= rs 32/rs 640*100

=rs 5

wish its help you

If you multiply $640 x .05 you get $32
Do the profit percent would be 5% by moving the decimal two places to the right.
Answer: 5% profit

Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]

The solutions of the given rational equation are 13/4 and 11/4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)

Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)

2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)

2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)

(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)

(2x²-4x-2x+5)/(x-1)=-3

2x²-4x-2x+5= -3(x-1)

2x²-6x+5=-3x+3

2x²-6x+5+3x-3=0

2x²-3x+2=0

By using quadratic formula, we get

x=3±√(9-8)/4

x=3± 1/4

x= 3+1/4 and x=3-1/4

x=13/4 and x=11/4

Therefore, the solutions of the given rational equation are 13/4 and 11/4.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Consider the following system of two equations.



{3x−4y=−24
3x+2y=−6


What are the coordinates(x,y) of the solution to the system of equations?



Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!

Answers

Step-by-step explanation:

The given equations are:

(i)

3x+2y−4=0...(1)

2x−3y−7=0...(2)

put x=0 in (1),

3(0)+2y−4=0

y=2

put y=0 in (2),

2x−3(0)−7=0

x=

2

7

put x=0 in (2),

2(0)−3y−7=0

y=−

3

7

put y=0 in (1),

3x+2(0)−4=0

x=

3

4

(x=0,y=−

3

7

)

(x=

3

4

,y=0)

(x=0,y=2)

(x=

2

7

,y=0)

(ii)

3x+2y−11=0...(1)

2x−3y+10=0...(2)

put x=0 in (1),

3(0)+2y−11=0

y=

2

11

put y=0 in (2),

2x−3(0)+10=0

x=−5

put x=0 in (2),

2(0)−3y+10=0

y=

3

10

put y=0 in (1),

3x+2(0)−11=0

x=

3

11

(x=

3

11

,y=0)

(x=0,y=

3

10

)

(x=0,y=

2

11

)

(x=−5,y=0)

a rack bought for rs.8000 and sold at 15% loss, find selling price​

Answers

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

Can someone help me please

Answers

Answer:

Yes what is the question?

Step-by-step explanation:

Answer:

What is the question?

Step-by-step explanation:


What are the lengths of AD, DB, AE, and EC? Measure and record them.

Answers

i’ll be able to help if you have a picture to show me

yo pls telll ?:( pls be correct answer

Answers

Answer: (0,3) and (2,2)

There are infinitely many possible answers.

======================================================

Explanation:

If we plug in x = 0 and solve for y, then we get,

x+2y = 6

0+2y = 6

2y = 6

y = 6/2

y = 3

So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)

This is one point on the line.

------------------------

Pick any other value you want for x. Let's say we go for x = 2

x+2y = 6

2+2y = 6

2y = 6-2

2y = 4

y = 4/2

y = 2

The point (x,y) = (2,2) is also on the line, and also another solution.

------------------------

One last example. Let's plug in x = 4

x+2y = 6

4+2y = 6

2y = 6-4

2y = 2

y = 2/2

y = 1

The point (x,y) = (4,1) is another solution.

--------------------------

Refer to the graph below.

Answer

first solution

for X=0

0+2y=6

2y = 6

6

y= ---- =3

2

so, (0,3) is also a solution

second solution

for y=0

X + 2(0) = 6

X+0 =6

X = 6

so, (6,0) is a solution

Step-by-step explanation:

was this answer helpful?

if yes then

please mark as brainlist

thankyou

Please help I’ll give brainliest

Answers

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

x+7=2(x-15) solve for x

Answers

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

what is the average of 4741, 4261, 4628?

Answers

Answer:

4628

I hope it will help you all

Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room

Answers

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

10.34126163391934 rounded to 4sf (significant figures)

Answers

Answer:

10.34

Step-by-step explanation:

Four sf=four numbers only

Answer:

10•34

1 is less than 5

n/b that u will begin from the no before the decimal place

Please help me!
The diagram shows the distance time graph of a bus in 45 minutes calculate

a) the period of time that the bus is stationery

b) the speed in km/h¯¹ in the first 5 minutes.

c) the value of s, if the speed is 80 km/h¯¹

d) describe the motion of bus in the last 20 minutes​

Answers

Answer:

a) 20 minutes

b) 36 km/h

c) 33.67 km

d) continuous driving without any stationary phases.

Step-by-step explanation:

by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.

not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.

between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.

in the first 5 minutes the bus drove 7-4=3 km.

so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.

5 × x = 60

x = 12

3 × 12 = 36

so, the speed in these first 5 minutes was 3 km/5 min.

or then in km/h : 36 km/h

between the minutes 25 and 45 the bus drove with a speed of 80km/h.

and the starting point there was at 7 km.

so, the bus drove s-7 km in 20 minutes.

as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.

20 × x = 60

x = 3

as before : distance × scaling factor = distance for km/h

(s-7) × 3 = 80

3s - 21 = 80

3s = 101

s = 33.666666666... km

What's is the coordinates of d

Answers

the coordinates of d are (3,7)
The coordinates are (3,7) because the x is 3 and is 7

I need help with this question

Answers

Answer:

a

Step-by-step explanation:

because- the numbers and then choose correct options

Ill give brainlest to who gets it right.

Answers

AB would be x + 14

If the 12 represents AC, AB would be 6 and x would equal -8

Can someone help me?It's urgent and thank you!

Answers

Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

A boy 1.5 m tall is 15 m away from a hut 24 m high. What is the angle of elevation of the top of the hut?​

Answers

Answer:

Angle of elevation = 56.31°

Step-by-step explanation:

Can anyone help with this question please? Will mark brainliest :)

Answers

Answer:

A = 15x^2 +11x+4

Step-by-step explanation:

can we assume you want the area...

A = 1/2 (B1+B2) h

A = 1/2(10x +4)(3x+2)

A= 1/2(30x^2 +22x+8)

A = 15x^2 +11x+4

: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng giác của góc A.

Answers

Answer:

Step-by-step explanation:

Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10

sin B=AC/AB=(3 căn bậc hai của 34)/34

cos B=BC/AB

tan B= AC/BC

cot B= BC/AC

Tương tự suy ra tỉ số lượng giác góc A

Find the slope of the line passing through (-2, 7) and (0, 1)
plz hurry i am in test

Answers

Answer:

-3

Step-by-step explanation:

1-7           -6

------ =   -------- =    -3

0--2          2

I really need help, please.

Answers

I gotchu :)
7.
y=118, z=15, because when 2 shapes are similar, the ratios of the sides relative to each other remain the same, and the angles also remain the same. This property can be used to solve the rest of the questions
8.
15*2/3=10
9.
Always
10.
Sometimes

Which is the graph of the system x + 3y > -3 and y < 1/2x + 1

Answers

Answer:

4th graph

Step-by-step explanation:

x + 3y > -3

3y > -x - 3

y > -(1/3)x - 1

Blue Line

y < 1/2x + 1

Orange Line

y- intercepts = -1 and 1

What is the value of b2 - 4ac for the following equation?

2x^2 - 2x - 1 = 0​

Answers

Answer:

12

Step-by-step explanation:

We are finding the discriminant

b^2 -4ac

2x^2 - 2x - 1 = 0​

a =2  b = -2  c = -1

(-2)^2 - 4(2)(-1)

4 +8

12

Answer:

[tex]b^2 - 4ac= 12[/tex]

Step-by-step explanation:

Standard quadratic equation :

                   [tex]ax^2 + bx + c = 0[/tex]

Given equation :

                  [tex]2x^2 - 2x - 1 = 0[/tex]

From the given equation , a = 2, b = -2 , c = -1

Therefore,

              [tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]

                          [tex]=4 + 8 = 12[/tex]

nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5

Answers

Answer:

75

Step-by-step explanation:

22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75

Can some please answer this?

Answers

Answer:

11/2

Step-by-step explanation:

when you do 11/4 divided by 1/2, think of it as 11/4 TIMES 2 because you can flip equations with division, so your answer would be 22/4 or 11/2

22/4 11/2 would be right
Other Questions
Help please I keep missing the middle one A machine having a first cost of $20,000 is expected to save $1500 in thefirst year of operation, and the savings should increase by $200 every year until (and including) the ninth year, thereafter the savings will decrease by $150 until (and including) the 16th year.Using equivalent uniform annual worth, is this machine economical? Assume a MARR of 9%. solve the paper with the correct answer I need help with the problem if a = 8 + 3 root 7 and b = 1/a find a^2+b^2 What is The meaning of this quotes" Act as if what you do makes a different IT DOES" Which countries are threatening Israel? If you look through a microscope but cannot see any distinct chromosomes in the nucleus what stage are you viewingA) anaphaseB) prophaseC) metaphaseD) interphasePlease give an explanation! A hot air balloon is moving at a speed of 10 meters/second in the +x direction. The balloonist throws a brass ball with a velocity of -2meters/second with respect to himself. If the ball lands after 20 seconds, about how far does it land horizontally from the point at which it wasreleased?OA 98 metersOB. 160 metersOC. 196 metersOD. 420 meters pls help i will give brainliest mechanical energy that has been "lost" to friction has actually been destroyed. Question: What is this???? A gas mixture contains 1.52 atm of Ne, 766 mmHg of He and Ar. What is the partial pressure, in atmospheres, of At if the gas mixture has a total pressure of 3.27atm ________ de una jirafa conecta la cabeza con el cuerpo. El cuello El pelo Los labios Los hombros The main message of the poster is that How did the Virginia Declaration of Rights influence the Declaration of Independence?It was the first document that was openly critical of the king.It was the document Jefferson referred to when writing the Declaration of Independence.It suggested that the colonies should be independent from Britain.It was published as a pamphlet and built support for the Declaration. Which ones are parallel? Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery number is 5"". What are two possible numbers that Hall could be thinking of? Construct a 135 AngleNow, provide the step - by - step instructions that you devised to create your own construction.*WILL GIVE BRAINLIEST* I will give Brainliest for the Best Answer! As hominids evolved, their eyes increased in size and became more forward facing. Which of the following can be inferred from this observation? A. Hominids became more dependent on vision over time and less so on their other senses.B. Hominid depth perception decreased, and eye size increased to compensate.C. Hominid brains increased in size, which required their sensory organs to increase in size as well.D. Hominids were less likely to sustain injuries when their eyes faced the direction of their motion.