a fitness club opens up with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has opened, x, and the total club membership,y?

Answers

Answer 1

Answer:

15x+80=m

Step-by-step explanation:

where x is the number of months and m is the amount of members

Answer 2

Answer/Step-by-step explanation:

y = 15x + 80

The club start with 80. Then each month 15 people are added so the slope is 15. So replace m in the equation y = mx + b with 15.

Next, replace the variable b of y = 15x +b with 80. because the original 80 members is a one time thing that stays there.

Now you have the equation y = 15x + 80. Which correctly describes the fitness club's situation.


Related Questions

One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square units. Find the length of the longer base.

Answers

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

-El papá de Susana es carpintero y en su trabajo utiliza clavos y tornillos de distintas medidas. Ahora, le advirtieron que dentro del muro hay una tubería a 4 centímetros del lugar en el que clavará las maderas. Por lo que Susana quiere saber qué clavos usará su papá. Pero como la medida de los clavos viene en pulgadas, ella quiere conocer la medida en centímetros, para saber qué medida de clavos no dañaría la tubería. Completa la siguiente tabla, convirtiendo la medida de los clavos de pulgadas a centímetros. ¿Cuáles clavos debe usar el Papá de Susana para no dañar la tubería?

Answers

Answer:

la tabla no esta, asi que busque la pregunta por interenet y encontre lo siguiente:

medida de los clavos         equivalencia en

en pulgadas                       centimetros                  

1 pulgada                                      2.54 cms

¹/₂  pulgada                                   2.54 x 0.5 = 1.27 cms

³/₄  pulgada                                  2.54 x 0.75 = 1.905 cms

¹/₈  pulgada                                  2.54 x 0.125 = 0.3175 cms

3¹/₂  pulgadas                              2.54 x 3.5 = 8.89 cms

Help me out plz struggling. Thx

Answers

the right answer is 1a 2b

A scout troop sold cups of lemonade to raise money for a camping trip. The graph
below represents the situation.

Answers

Answer:

Part A- 3

Part B- 5

Step-by-step explanation:

Answer:

Part A: 3

Part B: 5y

step explanation:

please help my sister needs to turn this in soon


Snowy Mountain in Alaska has an elevation of 7,093 feet. Together, Snowy
Mountain and Mammoth Mountain in California have a combined elevation of
18, 152 feet. What is the difference in elevation between Snowy Mountain and
Mammoth Mountain?
The difference in elevation between Snowy Mountain and Mammoth Mountain is
feet.

Answers

Answer:

11,059

Step-by-step explanation:

If you take the combined elevation (18,152) and subtract the elevation of Snowy Mountain (7,093), you should get 11,059.

Answer:

I believe 3966

Step-by-step explanation:

18152-7093=11059

11059-7093=3966

help math pls geometry ​

Answers

Answer:

The point is (8,2)

Step-by-step explanation:

Is this a square or rectangle or rhombus, etc.? Yes, because all the lines are all parallel.

Are AB and FG are parallel to each other right? Yes, so that means whatever you do to F will happen to G and we can start on A, it goes 6 down, then two to the right.

Since all lines are parallel how many steps we do on A to get F, we have to do to B to get G. So, (8,2).

Hope this helps!

A real estate agent earned commission of $8,785 for selling a house. If his rate is 7%, find the selling price of the house.

Answers

Answer:

$125,500

Step-by-step explanation:

Make "x" equal the selling price of the house

7% of x is the commission --->

.07 * x = 8785

x= 8785/ .07

x= 125500

Suppose $P$ is the point $(5,3)$ and $Q$ is the point $(-3,6)$. Find point $T$ such that $Q$ is the midpoint of segment $\overline{PT}$.
help qwikly

Answers

Answer:

(1,4.5)

([tex]\frac{5+(-3)}{2} ,\frac{3+6}{2}[/tex])

What is the valur of y in the equation 2(3y - 6) = 0?​

Answers

2 because the difference in the equation must equal 0 so it must equal 6 so 6/3 is 2. Therefore the answer is 2

Answer:

y=2

Step-by-step explanation:

Distribute the 2 into 3y and -6:

6y-12=0

Move the -12 to the other side by adding both sides by 12:

6y-12+12=0+12

=

6y=12

divide both sides by 6:

y=2

Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer:

2 hours and thirty minutes

Step-by-step explanation:

3+2=5

5/2=2.5

(02.05 LC) Solve the inequality 6x − 8 > 4x + 26. (5 points) Group of answer choices x 9 x > 17

Answers

The answer is x >1 7

Consider the function f(t) = StartRoot 3 t minus 9 EndRoot. You cannot take the square root of a negative number, so 3t – 9 must be zero.

Answers

Answer:

Greater than or equal to

Step-by-step explanation:

Answer:

1. Consider the function f(t) = .You cannot take the square root of a negative number, so 3t – 9 must be ____ to zero.

answer: C. greater thanless than or equal to✔

2. Set up an inequality showing that the radicand cannot be negative.

answer: A. 3t-9≥ 0

3.What is the domain of the function?

answer: D. Domain: t ≥ 3

hope this helps :)

Please help, will mark you as the brainiest! Please do NOT answer if you don’t know it!

Answers

Answer:

if oq or and os are bisectors then MN is 40, also it is a perpendicular angle so it would also be 40

Step-by-step explanation:

manuel calculates the business costs and profits to produce and hiking backpacks. manuel's profit is his revenue minus his expenses.

A. Write a function to present the profit Manuel makes selling n backpacks.
B. Graph the profit function. What is a reasonable domain for this function for one year if his revenue is between $4,000 and $30,000? Is the function discrete or continuous? Explain
C. How much is his profit if he sells 43 backpacks? Explain



setup cost is $5,250 assembly cost is $54/ backpack revenue is $159/ backpack

Answers

Answer:

A. P = n × $105 - $5,250

B. Please find attached the required graph

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The profit from selling 43 backpacks = -$735

Step-by-step explanation:

A. The given parameters are;

The setup cost = $5,250

The assembly cost = $54/backpack

The revenue = $159/backpack

Let n represent the number of backpack produced

Therefore, we have;

Profit, P = $ 159 × n - $54 × n - $5,250

P = n × ($ 159 - $54) - $5,250 = n × $105 - $5,250

P = n × $105 - $5,250

B. Please fins attached the graph of the profit function, created with Microsoft Excel

The domain for a range of revenue of $30,000 to $4,000 is given as follows;

The domain for the range ($30,000 to $4,000) = 25 < n < 189

C. The amount of profit from selling 43 bags = P(43) = 43 × $105 - $5,250 = -$735

How do you find the degree of a polynomial function/ graph in algebra 2??

Answers

Answer:

which way are the arrows facing on the graph? How many times does the fuction change directions?

Step-by-step explanation:

if arrows are going in same direction, degree is even and then count the number of direction changes for exact number

if arrows are going in opposite directions, degree is odd and then count direction changes

n - 3 11/12 = 8 6/7 What is n?

Answers

12.77 or 12 65/84 or 1073/84 are all correct :)

Sophia earned $480 in 32 hours. How many dollars did she earn per hour?
Sophia earne
dollars per hour.

Answers

Answer:

15 dollars an hour

Step-by-step explanation:

480/32=15

Answer:

Sophia Earned $15

Step-by-step explanation:

All you have to do is divide the amount she earned by the hours she worked to see how much money she earned per hour, then you get $15 dollars per hour.

plzzz help find the missing length indicated????

Answers

Answer:

The missing length is 64

Step-by-step explanation:

In the given figure

∵ The triangle is a right triangle

∵ There is a line drawn from the right angle ⊥ to the hypotenuse

There is a relation between the side of length 60, the part of the

   length 36,  and the length of the hypotenuse

∵ The length of the hypotenuse = x + 36

(60)² = 36 × (x + 36)

→ Multiply the bracket by 36

∴ 3600 = 36(x) + 36(36)

∴ 3600 = 36x + 1296

→ Subtract 1296 from both sides

∵ 3600 - 1296 = 36x + 1296 - 1296

∴ 2304 = 36x

→ Divide both sides by 36 to find x

64 = x

The missing length is 64

A function is a relationship between two quantities, called the ___ and the ___?

Answers

Answer:

domain and the range

Step-by-step explanation:

The sum of 5 and twice a number is at most 27?

Answers

5 + 2x ≤ 27 is the answer

urgent!! hal earns $5 doing chores for his parents. he also earns $10 a week for each dog, d, he walks.

Answers

Answer:

5+10d=x The dogs he walks are the ind variable and the total money he earns is the dep variable

Step-by-step explanation:

If he earns five dollars a week then that is a confirmed amount which means it’s just $5. Then for every dog he walks that’s $10 so if he walks 0 dogs then he gets $0.

The dogs he walks is ind because this variable is the variable that changes and effects the total whereas, the dep is the total because that’s what changes depending on the ind variable

Can someone help with this. Heads up it's ratios

Answers

Answer:

The median side measures 92 yards

Step-by-step explanation:

Let's call x, y, and z the measures of the sides of the triangle.

The ratios between them are:

[tex]\displaystyle \frac{x}{y}=\frac{4}{7}[/tex]

[tex]\displaystyle \frac{x}{z}=\frac{4}{2}=2[/tex]

The first ratio gives the relation:

[tex]\displaystyle y=\frac{7x}{4}[/tex]

The second ratio can be solved for z:

[tex]\displaystyle z=\frac{x}{2}[/tex]

Since the perimeter is 299 yards:

[tex]x+y+z=299[/tex]

Substituting the above relations:

[tex]\displaystyle x+\frac{7x}{4}+\frac{x}{2}=299[/tex]

Multiplying by 4:

[tex]4x + 7x+2x=1196[/tex]

Joining like terms:

[tex]13x=1196[/tex]

Dividing by 13:

[tex]x=1196/13[/tex]

x=92

Now calculate y:

[tex]\displaystyle y=\frac{7\cdot 92}{4}[/tex]

y = 161

[tex]\displaystyle z=\frac{92}{2}[/tex]

z=46

The median side measures 92 yards

Suppose x, y, and z are different positive integers such that xy, yz, and zx are all perfect
squares. Must x, y, and z be perfect squares? Why or why not?

Answers

Answer: Yes, and the numbers are 4, 36, and 9

Step-by-step explanation:

Yes, because it x=4, y=36, and z=9 then 4 * 36=144, 144=12*12 4*9=36, 36=6*6, and 9*36=324, 324=18*18. As you can see they are all perfect squares and 4, 36, and 9 are all perfect sqaures too.

(6x+1)+(-6x+1)=0

What property is this

Answers

Answer:

i believe this is the distriputive property

Step-by-step explanation:

hope this helpss

Find the value of x.

Answers

Answer:

Step-by-step explanation:

I realize that the time is passed.... but FYI

BD is Geometric Mean

That's mean BD² = 6 × 5 = 30 ⇒ BD = √30

x² = BD² + 6² = 30 + 36 = 66 ⇒ x = √66

y = √55

Answer: 66

Step-by-step explanation:

ΔADC and ΔABD are similar (AAA)

Therefore the cooresponging sides are in proportion: AD/AC = AB/AD

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=-3/2x+3

Good luck:)

It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200

Answers

Answer:

300+200

Step-by-step explanation:

did not give a equation

Answer:

300 + 200x

Step-by-step explanation:

200 is the one that's changing so it has the x.

A fireman is on the middle step of a ladder. (There are the same number of steps above him as below him.) If he goes down 4 steps, then up 7 steps, and then down 13 steps, he will be on the first step above the ground. How many steps does the ladder have?​

Answers

Answer:

The ladder has 20 steps

Step-by-step explanation:

10 is the direct middle if you go down 4 that is 6, if you go back up 7 you get 13 and if you go back down 13 and you are on the first step 13-13 is 0, so the ladder has 20 steps.

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?

Answers

Answer:

A'B'C' = A'(8,-3) B'(8,-6) C'(2,-6)

Step-by-step explanation:

Hope this helps you.

Answer:

Abc=e A

Step-by-step explanation:

someone explained

What is the value of x if 5^x+2 =5^9

Answers

Answer: 7

Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7

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