Quiz about Rate of Change with Coordinates

Question 1

Definition: the y-coordinate where the graph crosses the y-axis

Accepted Answer

y-intercept

Answer

y-axis

Answer

slope

Answer

zero

Question 2

Using the graph, find the rate of change

Accepted Answer

4/3

Answer

3/4

Answer

-4/3

Answer

-3/4

Question 3

Find the rate of change

Accepted Answer

undefined

Answer

0

Answer

-3

Answer

6

Question 4

Find the rate of change from the graph

Accepted Answer

0

Answer

undefined

Answer

3

Answer

-3

Question 5

Find the rate of change

Accepted Answer

2

Answer

1

Answer

11

Answer

Not a constant slope/Non-Linear

Question 6

Find the rate of change

Accepted Answer

-3

Answer

3

Answer

20

Answer

Not a constant slope/Non-Linear

Question 7

Find the rate of change

Accepted Answer

3

Answer

-1/3

Answer

-3

Answer

1/3

Question 8

Which company shows a greater rate of change?

Accepted Answer

Water's Edge Rafts

Answer

Ryan's Rafts

Answer

They have the same rate of change.

Answer

Cannot be determined

Question 9

When graphing the rate of change, we....

Accepted Answer

Rise then Run

Answer

Run then Rise

Answer

Rise then Rise

Answer

Run far away.

Question 10

Which of the following are ways to find the rate of change?

Accepted Answer

all of the above

Answer

change in y over change in x

Answer

rise over run

Answer

subtract y coordinates over subtract x coordinates

Question 11

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the rate of change?

Accepted Answer

32

Answer

64

Answer

128

Answer

16

Question 12

What is the rate of change for the table?

Accepted Answer

3

Answer

1/3

Answer

3/7

Answer

7/3

Question 13

Question 13.

Accepted Answer

Taylor can write 25 words per minute

Answer

Taylor can write 6 words per minute

Answer

Taylor can write 50 words per minute

Answer

Taylor can write 150 words per minute

Question 14

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Accepted Answer

75

Answer

200

Answer

150

Answer

300

Question 15

Which of the following equations represents the total cost, C, for the number of sandwiches, S, where each sandwich costs $7?

Accepted Answer

C = 7s

Answer

S = 7c

Answer

S = 7/c

Answer

C = s/7

Question 16

At 0 seconds, Mrs. Taylor was 10 feet off the ground.  At 5 seconds, she was 20 feet off the ground.  Which equation represents the situation?

Accepted Answer

y = 2x + 10

Answer

y = 10x + 10

Answer

y = 10x + 2

Answer

y = 5x + 10

Question 17

What is slope intercept form?

Accepted Answer

y = mx + b

Answer

y = kx

Answer

y - y₁ = m (x - x₁)

Answer

Ax + By = C

Question 18

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.

Accepted Answer

y = -1500x + 25000

Answer

y = 25000x - 1500

Answer

y = 25000 - 1500

Answer

y = 1500x + 25000

Question 19

Which equation matches the graph?

Accepted Answer

y = 2x - 3

Answer

y = 2x + 3

Answer

y = -3

Answer

y = -3x + 2

Question 20

Question 20.

Accepted Answer

Rachel pays $0.25 for each minute she exceeds her plan.

Answer

Rachel pays $0.50 for each minute she exceeds her plan.

Answer

Rachel pays $1.00 for each minute she exceeds her plan.

Answer

Rachel pays $4.00 for each minute she exceeds her plan.

Question 21

Question 21.

Accepted Answer

The relationship is proportional and can be represented as C = (1/4)a

Answer

The relationship is proportional and can be represented as C = 4a

Answer

It is NOT proportional.

Answer

The relationship is proportional and can be represented as C = (1/5)a

Question 22

Question 22.

Accepted Answer

It is proportional.  For every 10 bottles that are thrown away, 3 are recycled.

Answer

It is proportional.  For every 3 bottles that are thrown away, 10 are recycled.

Answer

It is NOT proportional.  There is not a direct relationship between the bottles thrown away and the number recycled.

Question 23

Question 23.

Accepted Answer

$0.50 per page

Answer

$2.00 per page

Answer

$0.20 per page

Answer

$0.25 per page

Question 24

Question 24.

Accepted Answer

Graph B

Answer

Graph A

Answer

Graph C

Answer

Graph D

Question 25

Question 25.

Accepted Answer

The graph is a straight line that passes through the origin.

Answer

The graph is a straight line with a positive slope.

Answer

The graph is a straight line that passes through (1, 12.5)

Answer

The graph is a straight line with no negative x- or y-values

Question 26

If our linear equation is y = x + 4, which of the following would be correct points?

Accepted Answer

(-1,3)
(0,4)
(1,5)
(2,6)

Answer

(9,8)
(10,11)
(14,19)
(0,2)

Answer

(-1, 5)
(0,4)
(1,3)
(2,2)

Answer

(-1,3)
(0,4)
(1,2)
(2,4)

Question 27

Which equation represents the table?

Accepted Answer

y = 17 - 2x

Answer

y = 17x + 2

Answer

y = 17x - 2

Answer

y = 17 + 2x

Question 28

Find the rate of change

Accepted Answer

-5

Answer

-25

Answer

25

Answer

Not a constant slope/Non-Linear

Question 29

Which equation represents the table?

Accepted Answer

y = -3x + 61

Answer

y = 9x + 61

Answer

y = -9x + 61

Answer

y = 3x + 61

Question 30

Find the rate of change

Accepted Answer

2.1

Answer

3

Answer

6.3

Answer

Not a constant slope/Non-Linear

Question 31

Which equation best represents the table?

Accepted Answer

y = 5x

Answer

y = -5x

Answer

y = 5x + 5

Answer

y = 25x

Question 32

Find the rate of change

Accepted Answer

2.6

Answer

5.2

Answer

0

Answer

Not a constant slope/Non-Linear

Question 33

Which equation best represents the table?

Accepted Answer

y = 2x + 8

Answer

y = 8x + 2

Answer

y = 2x

Answer

y = x + 8

Question 34

Find the rate of change

Accepted Answer

4

Answer

16

Answer

41

Answer

Not a constant slope/Non-Linear

Question 35

Find the rate of change

Accepted Answer

-2

Answer

4

Answer

-4

Answer

Not a constant slope/Non-Linear

Question 36

Which panda will weigh more at 5 weeks?

Accepted Answer

Mochi

Answer

Kappa

Answer

They will weigh the same amount.

Answer

Cannot be determined

Question 37

Find the rate of change for this equation.

Accepted Answer

-3/2

Answer

3/2

Answer

-2/3

Answer

-1

Question 38

Determine the rate of change and y-intercept from the following equation:   y = (3/2)x + 3

Accepted Answer

slope: 3/2   y-intercept:  (0,3)

Answer

slope: 2/3   y-intercept:  (0,3)

Answer

slope: 3/2  y-intercept:  (3,0)

Answer

slope: 3   y-intercept:  (1.5,0)

Question 39

What is the y-intercept in the following equation:  y = -4x - 5

Accepted Answer

(0,-5)

Answer

(0,-4)

Answer

(-4,0)

Answer

(-5,0)

Question 40

What is the rate of change in the equation:  y = 4x + 3

Accepted Answer

4/1

Answer

3/1

Answer

1/4

Answer

1/3

Question 41

What does "m" represent in y=mx+b?

Accepted Answer

rate of change

Answer

y-intercept

Answer

maximum

Answer

nothing

Question 42

What does 'b" represent in y=mx+b

Accepted Answer

y-intercept

Answer

movement

Answer

nothing

Answer

rate of change

Question 43

How do you find the rate of change for a table?

Accepted Answer

change in y divided by change in x

Answer

it's the first number

Answer

whatever the x goes by

Answer

whatever the y goes by

Question 44

If a line has a slope of 2 and passes through the point (0,9), what is the equation?

Accepted Answer

y = 2x + 9

Answer

y = 9x + 2

Answer

y = 0 + 2x

Answer

y = 0x + 2

Question 45

Given the following table, write the equation.

Accepted Answer

y = 1.2x + 20

Answer

y=10x+12

Answer

y = (10/12)x + 20

Answer

y = 12x + 20

Question 46

What graph is y = -0.4x + 1

Accepted Answer

Graph 4

Answer

Graph 1

Answer

Graph 2

Answer

Graph 3

Question 47

What is the y-intercept?

Accepted Answer

-1

Answer

1

Answer

2

Answer

3

Question 48

What type of relationship has a CONSTANT RATE of CHANGE between two variables?

Accepted Answer

Linear

Answer

Exponential

Answer

Inverse Variation

Answer

Quadratic

Question 49

Which line has a negative rate of change?

Accepted Answer

Yellow

Answer

Red

Answer

Blue

Answer

Green

Question 50

A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.

Accepted Answer

c = 2.75b + 4

Answer

c = 2.75b

Answer

c =  4b- 2.75

Answer

c = 2.75b - 4

Question 51

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Accepted Answer

y = 2.50x + 3

Answer

y = 3x + 2.5

Answer

y = 2.50x

Answer

y = 3x + 2.50

Question 52

What does the y-intercept represent in this graph?

Accepted Answer

There were 60 students to start with on the bus ride.

Answer

Every minute 60 students got off the bus.

Answer

Each minute, 10 students got off the bus.

Answer

60 students rode the bus every minute.

Question 53

Is the point (6,8) on the graph of y = 2x - 4?

Accepted Answer

yes

Answer

no, it's (6,4)

Answer

no, it's (6,12)

Answer

no, it's (6,10)

Question 54

Which equation matches this situation:
Cameron's lunch account started at $50. He withdrew $3 a day for lunch.
A = account $
d = day

Accepted Answer

A = 50 - 3d

Answer

d = $3A - 50

Answer

A = 53d

Answer

A = 3d + 50

Question 55

Which equation matches this situation:
Declan has a walking rate of 2.1 meters per second and had a 10 meter head start
d = distance
t = time in seconds

Accepted Answer

d = 2.1t + 10

Answer

d = 10t + 2.1

Answer

d = 12.1t

Answer

t = 2.1d + 10

Question 56

Which equation matches this situation:
Bob makes $3 an hour
h=hour
m=money earned

Accepted Answer

m = 3h

Answer

h = 3m

Answer

3mh

Answer

h = m3

Question 57

Which statement is true about the proportional relationships A and B?

Accepted Answer

Proportional Relationship A has the greater rate of change

Answer

Proportional Relationship B has the greater rate of change

Answer

Proportional Relationships A and B have the same rate of change

Answer

There is not enough information

Question 58

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

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 59

What does the rate of change tell you about this graph?

Accepted Answer

He ate 15 cookies every hour

Answer

He ate 2 cookies in 30 hours

Answer

He ate 30 cookies every hour.

Answer

He ate 1 cookie in 15 hours

Question 60

Question 60.

Accepted Answer

No, in the equation 8 is the rate of change

Answer

Yes, in the equation 8 is the initial value

Answer

No, in the equation 8 is the initial value

Answer

Yes, in the equation 8 is the rate of change

Question 61

Question 61.

Accepted Answer

The remaining number of miles on a 620 mile trip if traveling 65 miles an hour for x hours

Answer

The cost in dollars of buying x items that cost $245 each

Answer

The number of miles an airplane had traveled after flying 555 miles per hour for x hours

Answer

The amount owed on a $555 loan after paying $65 per month for x months

Question 62

Question 62.

Accepted Answer

y = -500x + 8,000

Answer

y = -0.002x + 2,500

Answer

y = 500x + 8,000

Answer

y = 0.002x + 2,500

Question 63

John is having a new deck built. He paid $485 for the material and will pay his brother $25 an hour. What set of ordered pairs represents (hours, money)?

Accepted Answer

(0,485)  (3,560)  (8,685)

Answer

(0,485)  (3,510)  (8,535)

Answer

(0,485)  (3,535)  (8,560)

Answer

(0,510)  (3,585)  (8,710)

Rate of Change with Coordinates

63 questions

Definition: the y-coordinate where the graph crosses the y-axis

Using the graph, find the rate of change

Find the rate of change

Find the rate of change from the graph

Find the rate of change

Find the rate of change

Find the rate of change

Which company shows a greater rate of change?

When graphing the rate of change, we....

Which of the following are ways to find the rate of change?

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