Rate of Change
Write or Identify a Linear Equation
1. Which of the following situations
represents a linear relationship?
2. What is the equation for a line that passes
through the points (3,-4) and (-6, 20)?
A company is increasing the
volume of a cylindrical container by
A. increasing its radius as the height
remains fixed.
A savings account gains 3 percent in
B. interest annually.
An employee is paid $12 for each
C. hour worked.
The enrollment at a university has
D. doubled every 5 years since 1980.
Rate of Change
3.
The graph above shows the amount Tina
earns, w, before taxes after working h
hours. How much does Tina make per
hour?
A. $4.00
B. $8.00
C. $10.00
D. $9.00
A.
B.
C.
D.
Write or Identify a Linear Equation
Rate of Change
4. A linear function has a slope of and
crosses the y-axis at -12. What is the
equation of the line?
A.
5. Which statement describes the rate of change of
the following function?
f(x) = 3x – 8
B.
C.
A.
The function has a constant rate of change,
increasing for all x at a rate of 3.
B.
The function has a constant rate of change,
decreasing for all x at a rate of 8.
C.
The function has a varying rate of change
when x > 3.
D.
The function has a varying rate of change
when x < 8.
Rate of Change
D.
Rate of Change
7. The total number of credit hours that
remain for a student to earn a degree after s
semesters have been completed
successfully is given by 130 - 9s.
Which statement is correct?
The remaining credit hours decrease
A. by 9 for each semester completed.
The remaining credit hours decrease
B. by 130 for each semester completed.
The remaining credit hours increase
C. by 9 for each semester completed.
The remaining credit hours increase
by 130 for each semester
D.
completed.
10. The amount of fuel, in gallons, in a vehicle's
fuel tank after driving m miles is 20 - 0.03m.
Which statement is correct?
For every mile the car is driven, the amount
A. of fuel decreases by 0.03 gallons.
For every mile the car is driven, the amount
B. of fuel decreases by 20 gallons.
For every mile the car is driven, the amount
C. of fuel increases by 0.03 gallons.
For every mile the car is driven, the amount
D. of fuel increases by 20 gallons.
Rate of Change
Rate of Change
14. Which statement describes the rate of change
of the following function?
13. The cost, in dollars, of parking a car in
a busy downtown area for h hours is $10 +
$3h.
f(x) = -2x – 8
Which statement is correct?
For every hour the car is parked, the
A. cost increases by $10.
A.
The function has a constant rate of change,
decreasing for all x at a rate of 2.
B.
The function has a varying rate of change
when x < 2.
For every hour the car is parked, the
B. cost increases by $3.
C.
The function has a constant rate of change,
decreasing for all x at a rate of 8.
D.
The function has a varying rate of change
when x < 8.
For every hour the car is parked, the
C. cost increases by $7.
For every hour the car is parked, the
D. cost increases by $13.
Write or Identify a Linear Equation
Write or Identify a Linear Equation
15. What is the slope of the line that passes
through the points (2, -9) and (8, 9)?
16.
3x - 5y = 20
A.
B.
C.
What is the y-intercept of the equation above?
A. (-4, 0)
B. (0, -4)
C. (1 2/3, 0)
D. (0, 4)
D.
Rate of Change
Seconds No.
17. In P.E. class, the students recorded
their number of heartbeats after exercising.
Below is a chart with the number of
heartbeats recorded after 30, 50, and 70
seconds of exercise.
What is the rate of change of the data in
heartbeats per minute?
Passed Heartbeats
30
57
50
95
70
133
A. 95
B. 190
C. 114
D. 76
Write or Identify a Linear Equation
18. Which of the following equations
matches the graph below?
A.
B.
C.
D.
Rate of Change
19. Which of the following situations
represents a linear relationship?
The population of a town increases by 1,000
A. people every year.
The population in a town increases by 7
B. percent each year.
A town loses one-half of its population
C. every 10 years.
The population of a town doubles every 10
D. years.
Write or Identify a Linear Equation
20. A line passes through (7,1) and (10,14). Write the equation of the line in
general form.
A. 5x + y = 36
B. 5x - y = 34
C. 5x + y = 34
D. 5x - y = 2
Rate of Change
21. Sending text messages from Katrina's
cell phone costs $0.20 per text message.
From last month, she has a credit on her
bill for $10.00. How much more money
will she need to pay for text messages this
month if she has sent 245 messages?
Write or Identify a Linear Equation
22. Identify the y-intercept of the line
below.
4x + 10y = 400
Rate of Change
23. Richard is making a map for
Geography. In order to draw the map, he
must create a scale converting the
measured inches on the map to actual
miles.
A. $49.00
B. $40.50
C. $39.00
D. $37.00
A. (0, 40)
B. (40, 0)
C. (100, 0)
D. (0, 100)
Length in
Inches
Length in
Miles
1
/4
1
45
1
/2
1
54
1
/4
3
63
2
/4
1
81
2
/2
1
90
2
/4
3
99
Use the table above to identify the scale he used
for his map.
A. 1 in = 12 miles
B. 1 in = 36 miles
C. 1 in = 9 miles
D. 1 in = 18 miles
Write or Identify a Linear Equation
24. What is the slope of the line above?
A.
B.
C.
D.
Write or Identify a Linear Equation
25. A linear function has a y-intercept of 7
and a slope of . What is the equation of
the line?
A.
B.
C.
D.
Write or Identify a Linear Equation
A. -7
26. What is the slope of the line given by
the following equation?
B. -35
C. 5
D. -2
y = -7x + 5
Rate of Change
27.
The graph shows the cost, C, of sending m
text messages. What is the cost per
message?
A. $0.15 per message
B. $0.25 per message
C. $0.10 per message
D. $0.05 per message
Write or Identify a Linear Equation
28. Which of the following equations
matches the graph below?
A.
B.
C.
D.
Rate of Change
KWH used Billing
29. The electric usage for a computer
repair company was charted over four
months. What is the rate of change for the
bill during that time?
652
$104.32
1,056
$168.96
1,431
$228.96
1,763
$282.08
A. $1.62 per KWH
B. $0.62 per KWH
C. $0.16 per KWH
D. $0.81 per KWH
Rate of Change
30. Megan is going on a long distance road
trip. She drives for 15 miles before being
able to travel at a constant speed using
cruise control. The equation y = 60x + 15
can be used to find her total distance
traveled. If y is the total number of miles
driven, and x is the number of hours driven
after reaching 15 miles, which statement
best describes the rate of change in the
distance traveled?
A.
For every two hours, she will drive 60
miles.
B. For every 15 hours, she will drive 75 miles.
C. For every hour, she will drive 75 miles.
D. For every hour, she will drive 60 miles.
Rate of Change
6.
A.
B.
C.
D.
Write or Identify a Linear Equation
9.
A.
B.
C.
D.
Write or Identify a Linear Equation
11.
A.
B.
C.
D.
Write or Identify a Linear Equation
12.
A.
B.
C.
D.