8th Grade Learning Targets Unit 4 Exam 3:
Linear Functions
Name: ____________________________________
Cluster Target #4.6: Given information in words, graphs, equations, and/or tables, compare rates of change and initial values
and interpret their meanings in context.
1. Write a function (equation) when the y-intercept is -3 and
the slope is
4
.
5
2. Write a function (equation) for the following table:
x
-10
-5
0
5
y
40
25
10
-5
4. Write a function (equation) for the following table:
x
4
6
8
10
y
30
40
50
60
5. Write a function (equation) for the following graph:
3. Write a function (equation) for the following graph:
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Function A:
y
2
x 8
3
6. Find the slope of each function.
7. Find the y-intercept of each function.
Function B:
x
3
6
9
12
y
7.5
6
4.5
3
8. Which has a greater slope? Function A or Function C?
9. Which has a greater y-intercept? Function A or Function B?
10. For what x-value do Function B and C have the same y-value?
Function C:
11. True or false. Function B and Function C have the same slope.
12. Which function has the greatest y-intercept?
13. Which function will have the greatest y-value when x = 8. How
do you know?
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14. Lantz is considering joining a gym. He got information from Fit
Club gym which listed the cost of membership for various lengths of
time. The cost includes a one-time sign-up fee. The data suggests a
linear relationship.
Fit Club
Months
Cost of
Membership
15. The speeds of a coyote and giraffe are shown in the graph and
table below.
Land Speed of a Coyote
Land Speed of a Giraffe
3
6
9
12
Number of
Distance Ran
$110
$170
$230
$290
Hours
(mi)
0.5
16
1
32
1.5
48
a. What is the rate of change?
b. What does the rate of change represent in the context of this
function?
a. What is the rate of change for each animal?
c. What is the initial value?
b. What is the intital value for each animal?
d. What does the initial value represent in the context of this
function?
c. Which animal is the fastest? How do you know?
e. Write an equation to represent this function.
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16. Students in Mr. Rose’s science class are comparing data on three species of plants for a science experiment. Find the rate of change
and initial value for each plant.
Herbica Rosum
Leafius Lenta
Week
Height
(in)
3
6.5
5
9.5
7
12.5
9
15.5
11
18.5
Mandragora
Rate of Change:
Rate of Change:
Rate of Change:
Initial Value:
Initial Value:
Initial Value:
a. Which plant was tallest at Week 0 of the experiment? How do you know?
b. Which plant was shortest at Week 0? How do you know?
c. Which plant had the highest growth rate? How do you know?
d. Explain the growth rate for Mandragora?
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