Jamie and Hudson took a road trip to the beach. Their total distance traveled after getting on the highway can be found using the function d(h)=55h+10, where h is the number of hours they have been driving on the highway.

1) Explain why the relationship between total distance and hours is a function.

2) Is this function continuous or discrete? Explain how you know.

3) If the girls can drive a maximum of 8 hours, what is the domain for the function? Explain your answer.

4) If the girls can drive a maximum of 8 hours, what is the range for the function? Explain your answer.

5) Create a graph that models this function. Be sure to include a title and to label your x- and y-axis with the variable names, but just x and y.

6) What is the slope of the function? What does it represent?

7) What is the y-intercept? What does it represent?

This is equivalent to 0.6 in decimal form

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

Explanation:

To find the slope, divide the rise over run

In this case, we have:

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

More about the slope link is given below.

https://brainly.com/question/3605446

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Answer:

y = -4x – 23

Hope this helps :)

answer is probably just 4

4/1 rise over run

Answer:

y=3x+5

Step-by-step explanation:

y=mx+b

-y=-5-3x

divide each term

y=5+3x

reorder 5 and 3x

answer:y=3x+5

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

Answer:

67°

Step-by-step explanation:

A line is 180° so subtract the 113°

180 - 113 = 67°

hope that helps and have a great day :D

Answer:

A

Step-by-step explanation:

Answer:

what number?

Step-by-step explanation:

Answer:

B)154

Step-by-step explanation:

98:7=x:11

x=154

Answer:

Its ether 3 or 4.

Step-by-step explanation:

its more than likely its 4 but I wasn't %100 sure.

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]

Answer:

e = 10

Step-by-step explanation:

9e +4= -5e + 14+ 13e

combine like terms on left side of the equation : -5e + 13e = 8e

9e + 4 = 8e + 14

subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out

e + 4 = 14

subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10

we're left with e = 10

Answer:

A) 32 and 28

Step-by-step explanation:

A= √4².√2

= √16.√2

= √32

m= 32

B= √2². √7

=√4.√7

=√28

n= 28

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

S(0,-2)

i.e

[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]

New co-ordinates are

Answer:

x-490=t

Step-by-step explanation:

Marlee has x money

She deposited $60 meaning adding $60 to the bank

So x+60

THen Marlee need to withdraw $550 from her bank to rent

So the equation is now

x+60-550

60-550 is -490

Thus:

x-490

(I will represent (t) as the money she has left for the equation)

Thus the equation is

x-490=t

Hope this helps!

Answer:

15

Explanation:

120 divided by 8 is 15

Answer:

120 ÷ 8 = 15

Simple math. :D

Step-by-step explanation:

Pls give brainliest.

Answer: 12.71

Step-by-step explanation: 50.84 divided by 4 = 12.71

Answer:

.036

Step-by-step explanation:

.036 = 3.6%

converting percent to decimal:  remove the percent sign and move the decimal point two places to the left

Answer:

0.036

Step-by-step explanation:

3.6 ÷ 100=0.036

Answer:

For easy way

convert to decimals first

3.5h - 3 (5h - 3.5)

Open brackets

3.5h - 15h + 10.5

Answer = 10.5 - 11.5h

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

[tex]\\ \sf\longmapsto -3x<4.2[/tex]

[tex]\\ \sf\longmapsto x<4.2/-3[/tex]

[tex]\\ \sf\longmapsto x<-1.4[/tex]

Graph attached

The solution to the given set of inequality is -

x > - 1.4.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)        {Two point - slope form}

x/a + y/b = 1                                         {intercept form}

x cos(β) + y sin(β) = L                           {Normal form}

A linear equality is of the form -

y ≤ mx + c

y ≥ mx + c

y > mx + c

y < mx + c

We have the given inequality as -

-3x < 4.2

We have the following inequality as -

-3x < 4.2

x > (- 4.2/3)

x > - 1.4

Therefore, the solution to the given set of inequality is -

x > - 1.4.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

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Answer:

bar and line

Step-by-step explanation:

Answer:

≈33.3%

Step-by-step explanation:

First we find the difference of the heights to see what the growth was

24-18 = 6

Then we find what percent 6 is of 18 to see what percentage growth occured

6/18 ≈33.3%

Answer:

is equal to 0

Step-by-step explanation:

points Lang habol

Answer:

∆L = 51°

∆Y = 28°

∆B = 101°

∆U = 51°

UG = 10.66666

BG = 4x

Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.67 = \frac{X - 0}{1}[/tex]

[tex]X = 0.67[/tex]

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213