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Rate of Change and Writing and Interpreting Linear Functions

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

y = mx + b

a)

m is the y-intercept and b is the slope

b)

y is the slope and m is the x is the input

c)

m is the slope and b is the y-intercept

d)

x is the slope and b is the y-intercept

2.

Find the rate of change

a)

$3.50

b)

$2.75

c)

$0.75

d)

$1.75

3.

Which equation matches the graph

a)

y = 50x + 50

b)

y = 100x + 50

c)

y = 100x - 50

d)

y = 50x + 100

4.

Edward and Jacob are starting a T-shirt company. It cost them $500 for set up and $4 for each shirt they print. Which equation describes their total cost?

a)

y = 4x - 500

b)

y = 500x + 4

c)

y = 4x + 500

d)

y = 500x - 4

5.

What is the rate of change formula?

a)

change - time

b)

time - change

c)

time / change

d)

change / time

6.

Bella just joined a gym and the cost for her membership is described by the equation y = 30x + 75.50. Which choice describes the slope and y-intercept in the context of the problem?

a)

30 is the slope and represents her monthly charge. 75.50 is the y-intercept and represents the one time joining fee.

b)

30 is the slope and represents the one time joining fee. 75.50 is the y-intercept and represents her monthly charge.

c)

75.50 is the slope and represents her monthly charge. 30 is the y-intercept and represents the one time joining fee.

d)

75.50 is the slope and represents the one time joining fee. 30 is the y-intercept and represents her monthly charge.

7.

Gale has 45 bottles to return in his garage and collects 15 bottles each day. Which graph represents the amount of bottles Gale collects?

a)
b)
c)
d)
8.

The average speed of Katniss' trip to D.C. is 70mph. What data was used to calculate her rate of change?

a)

At 1 hour she had gone 60 miles, and at 3 hours she had gone 160.

b)

At 2 hours she had gone 120 miles, and at 4 hours she had gone 270 miles.

c)

At 1 hour she had gone 60 miles, and at 3 hours she had gone 140 miles.

d)

At 2 hours she had gone 120 miles, and at 4 hours she had gone 260 miles.

9.

Peeta needs to figure out how much wheat to collect for bread making during the month of November. He has 30 loaves pre-ordered and sells on average 5 loaves a day. Which equation represents the amount of bread he will make?

a)

y = 5x - 30

b)

y = 5x + 30

c)

y = 30x + 5

d)

y = 30x - 5

10.

Charlie Damelon and Billie Eyelash decide to make a joint Tik Tok account. On the first day of their live account, they had 1.2 million followers. By the end of the seventh day, their account has 28.2 million followers. How many followers did they gain per day?

a)

3.4 million

b)

3.8 million

c)

4.5 million

d)

4.9 million