The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it represent?

The Graph Shows The Distance Arlene Ran On Saturday Preparing For A Marathon. What Is The Rate Of Change

Answers

Answer 1

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

                          = [tex]\frac{24-12}{4-2}[/tex]

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.


Related Questions

What is f(x)= 3x+ 13(17x-7) if x equals 4?

Answers

The answer to this is 805

Answer:

805

Given:

x=4

Step-by-step explanation:

f(x) = 3x + 13(17x-7)

f(x) = 3 × 4 + 13(17 × 4 - 7)

f(x) = 12 + 13(68 - 7)

f(x) = 12 + 13 × 68 - 13 × 7

f(x) = 12 + 884 - 91

f(x) = 12 + 793

f(x) = 805

hope you understood❤❤

Solve for x.

2/3 ( 1/2x + 12) = 1/2 (1/3x + 14) - 3

Answers

x = -24

Step-by-step explanation:

i hope this helps :)

Answer:A

Step-by-step explanation:

Josiah buys a video game for $20 plus a 6% tax. Elliot buys a basketball for $18 plus a 6% tax. Enter the difference in the amount Josiah and Elliot paid, including tax. Round your answer to the nearest cent.

Answers

Josiah payed $2.12 more than Elliot
Josiah payed $21.20
Eliot payed $19.08
6% of 20= $1.20
6% of 18= $1.08

I need help please. Whoever answers first get brainiest!

Answers

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

I NEED HELP ASAP THANKSSS

factor x^2 +9x+20

Answers

Answer:

(x + 5)(x + 4)

Step-by-step explanation:

[tex]x^{2} +9x+20=(x+5)(x+4)[/tex]

Answer:

Step-by-step explanation:

x^2+9x+20

(x+4)(x+5)

To make these Quadrilaterals similar what is the coordinate of S ???
A. (2,4)
B. (4,-2)
C. (-2,-4)
D. (-4,-2)

Answers

ABCD 1234 AEIOU = meow meow i’m not a cow who who

Color of socks
Number of socks
white
9
black
2
blue
5
brown
8
9
From the table, the ratio of white socks to brown socks is
Select two latios equivalent to the ratio of white socks to brown socks.
45
27
24
B
40
45
24
28
41

Answers

Answer:

45:40

27:24

Step-by-step explanation:

45:40 c=5

27:24 c=3

How to make x the subject

Answers

Answer:

DEMOS LOS

Step-by-step explanation:

What is 71.00725175 to 3sf

Answers

Answer:

71.0

Step-by-step explanation:

Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know that they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars. Circle the partial products Mari and Rob would need to add to find the product of 7 and 0.38. Mark all that apply. Which problems will have two decimal places in the product? Mark all that apply.

Answers

Answer: a big rock

Step-by-step explanation: i am just dumb and lazy

the expression -6 -7(4+3x) is equivent to

Answers

Answer:

Done!

Step-by-step explanation:

-6 - 7(4 + 3x)

Distribute;

-6 - 28 - 21x

-34 - 21x

Use the​ slope-intercept form to graph the equation y=3/7x+3

Answers

Answer:

here you go

Step-by-step explanation:

1. Kites are on sale: 4 kites for $11. If Josh
spent $35.75 on kites during the sale, how
many kites did he buy? Write and solve a
proportion to answer.
C. 22 kites
A. 9 kites
B. 13 kites
D. 98 kites

Answers

Answer:

the kites are 4 for $11 then Josh buy x amount with $35.75 on kites. So  what you do is you didved each numder and the the one that is closest to that numder is the right answer so the answer is 13 kites

please help. I don't understand ​

Answers

Answer:

ACB = 72

Step-by-step explanation:

OAD is straight line.

∠DAB +  ∠OAB  = 180

142 + ∠OAB  = 180

          ∠OAB = 180 - 142

          ∠OAB =  38

ΔAOB is isosceles triangle. OA = OB = radius

∠OAB = ∠OBA = 38   {angles opposite to equal sides or equal}

In ΔAOB ,

∠OAB + ∠OBA + ∠AOB = 180   {Anlge sum property of triangle}

   38 + 38 + ∠AOB = 180

               76 + ∠AOB = 180

                       ∠AOB = 180 - 76

                       ∠AOB = 104

THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle

∠AOB =  2*∠ACB

∠ACB = ∠AOB/2

         = 104/2

ACB = 72

Is 700​% of 8 less than​ 10, greater than 10 but less than​ 100, or greater than​ 100?

Answers

Answer:

Greater than 10 but less than 100.

Step-by-step explanation:

What is the area of a right triangle that measure 8” high and has a 4” base?

Answers

Answer:

the answer is 16 im pretty sure

Step-by-step explanation: hope this helps :)

Can somebody please help me with this math question

Answers

Answer:

9

Step-by-step explanation:

Please help me please thank you sm in advance

Answers

The answer is 30.5 BRANLIEST? :)

Which of these graphs represents a rate of change of 4?

Answers

The last graph because the slope is 40. Slope equals rise over run Rise is 4/ Run is 1 4/1=4 Slope (rate of change)=4C

Given h(x) = 4x – 5, solve for x when h(x) = 7.

Answers

Answer: x = 3 when  h(x) = 7.

Step-by-step explanation:

h(x) = 4x -5      To solve for x when h(x) = 7,  you will set the expression 4x -5 equals 7 to solve for x.

4x -5 = 7    Add 5 to both sides

   +5   +5

4x = 12       Divide both sides by 4.

x= 3

Katie empties her purse and finds that it contains only nickels (worth 5 cents each) and dimes (worth 10
cents each). If she has a total of 7 coins and they have a combined value of 45 cents, how many of each coin
does she have?

Answers

Answer:

Step-by-step explanation:

2 dimes and 5 nickels

Dimes: 10 × 2 = 20

Nickels: 5 × 5 = 25

Answer:

5 nickel and two dimes

Step-by-step explanation:

let let X be the number of Nickels

number of X is equals to 7 - x

5x+ 10*(7-x)= 45

X= 5

thus nickel is 5 and dimes is 2

The freshmen class is going on a field trip. There are 316 people going.
Six people will be traveling by car and there are five buses. How many
people must ride on each bus?
Need help for the equation

Answers

The equation would be 6x+5y=316. X represents the car travelers and the y represents the bus travelers

The table below represents a linear function f(x) and the equation represents a function g(x):

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

Answer:

Slope of f(x) is greater than slope of g(x)

g(x) has a greater y intercept

Step-by-step explanation:

Given

f(x) table

[tex]g(x) = 2x + 6[/tex]

Solving (a):

First, we determine the slope of f(x).

From the table, we take any two corresponding values of x and f(x).

Represent f(x) with y

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

The slope (m) is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]

[tex]m = \frac{-6 +12}{0 +1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

Represent this with m1

[tex]m_1 = 6[/tex]

Calculating the slope of g(x).

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope.

We have that:

[tex]g(x) = 2x + 6[/tex]

By comparing  [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]

[tex]m = 2[/tex]

Represent this with m2

[tex]m_2 = 2[/tex]

Comparing both slope, we can say that:

f(x) has a greater than slope of g(x)

Another comparison is that:

Slope of f(x) is 3 times the slope of g(x)

Solving (b): Function with greater y intercept.

The general form of an equation is [tex]y = mx + b[/tex]

Where b represents the y intercept.

First, we need to determine the equation of f(x) using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that, from the table of f(x):

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

[tex]m_1 = 6[/tex]

So:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-12) = 6(x - (-1))[/tex]

[tex]y + 12 = 6(x +1)[/tex]

[tex]y + 12 = 6x +6[/tex]

Solve for y

[tex]y = 6x + 6 - 12[/tex]

[tex]y = 6x - 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6

For g(x), we have:

[tex]g(x) = 2x + 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of g(x) is 6

Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]

what is the decimal form for 3750?

Answers

Answer:

.3750

Step-by-step explanation:

sorry if this is wrong. I don't understand

given the equation what is the slope of the parallel line
[tex]y = \frac{3}{2} x + 4[/tex]

Answers

The slope is 3/2. Because the equation is given in slope intercept for y=mx+c and m is slope

solve for x 2(3x-2)-4x+1=9 linear equations with disbribution

Answers

Answer:

x=-2/3,2

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

2 (3x - 2) - 4x + 1 = 9

Distribute the 2 to 3x and -2

6x - 4 - 4x + 1 = 9

Combine like terms

2x - 3 = 9

Add three to both sides

2x = 12

Divide by 2

x = 6

Lisa purchased groceries worth $34 for a party. A gallon of milk costs $2.50, a gallon of ice cream costs $7.50, and a gallon of lemonade costs $3.00. If Lisa bought 4 gallons of milk, and 2 gallons of ice cream, how many gallons of lemonade did she buy?

Answers

Answer:

3

Step-by-step explanation:

4×2.5=10

2×7.5=15

10+15=25

34-25=9

9÷3=3

Answer:

3

Step-by-step explanation:

4(2.50)=10

2(7.50)=15

15+10=25

34-25=9

3(3)=9

25+9=34

A store purchases homemade cookies for $1.00 each.
The percent markup is 15%. How much do they sell each cookie for?​

Answers

Answer:

$1.15

Step-by-step explanation:

1*15=15

15/100=.15

1+.15=1.15

Square numbers between 300 and 400

Answers

324, 361, 400

18^2=324
19^2=361
20^2=400

ill give u brainliest

Answers

Answer:

D

Step-by-step explanation:

Answer
D I could be wrong
Exactly
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