Unit 4 Review
Name:
Date:
Sect 4.1 Understanding Slope
1. Find the slope of each line.
Line a:
Line b:
2. Which is steeper: a ramp with a rise of 2 ft and a run of 6 ft or a ramp with a rise of 1 ft and a run of 4
ft?
3. The data in the table below is linear. Find the slope.
x
y
0
0
-1
-3
-2
-6
-3
-9
4. The graph shows the height of a plant over a 2-month growth period. Calculate the rate of change
per day.
Sect 4.2 Graphing Linear Functions
Graph the equations in slope-intercept form.
4.
5.
Sect 4.3 Writing Rules for Linear Functions
6. You are buying a cable plan. Comcast charges you $75 per month plus $25 per premium channel.
Write a function rule for your total bill.
Let p =
Let t =
Function rule:
Rate of change (and its meaning):
Initial value (and its meaning):
7. A restaurant charges $6.95 for a pizza, plus $0.50 for each topping. Write a function rule relating the
cost of a pizza to the number of toppings ordered.
Let t =
Let c =
Function rule:
Rate of change (and its meaning):
Initial value (and its meaning):
8. The table shows the number of pies that Andy earns for selling pies. Which equation matches the
table?
Pies sold (x) 0
1
2
3
4
Earnings (y) 11
16
21
26
31
a. y = 5x
1
x
5
1
x5
c. y 
11
b. y 
d. y = 5x + 11
9. In the problem above, what is the rate of change? What does the rate of change represent in the
context of this problem?
10. The table shows the amount of money Danielle will earn by shoveling driveways.
Number of Driveways (x)
Earnings in dollars (y)
0
11
1
16
2
21
3
26
a. What is the rate of change? What does the rate of change mean in this context?
b. What is the y-intercept (the time when x =
)?
c. What is the equation of the line represented by this table?
4
31
Sect 4.4 Comparing Functions
11. Which function has the greater rate of change? Show all work / explain your answer.
a. y = 3x + 1
b.
x
Y
2
5
5
12.5
12
30
12. Find and compare the rates of change and initial values of the linear functions in terms of the
situations they model.
Dan:
Keri:
13. Find and compare the rates of change and initial values of the linear functions in terms of the
situations they model.
Javier:
Wendy:
Use the table and the graph for questions 14 and 15. Choose the letter for the best answer.
Jane and Alex each start driving from their homes, which are different distances from the warehouse
where they both work, to a meeting out of town.
Jane:
Time (hr)
Distance (mi)
2
185
3
240
4
295
5
350
14. How much farther from the warehouse was Jane than Alex when she started driving today?
a. 50 miles
b. 60miles
c. 75 miles
d. 200 miles
15. How much faster is Jane driving than Alex?
a. 55 miles per hour
b. 50 miles per hour
c. 25 miles per hour
d. 5 miles per hour