Name: Algebra I CP
Date: Unit 4: Slope as Rate of Change
1. In 1986 a locally-owned car company sold 2,342 cars. In 2004, the car sales rose to 4,609.
What was the average rate of change for the total number of cars sold?
B. / 126 cars per year
C. / 2,267 cars per year
D. / 7.94 cars per year
Write your response here:
(show your work)
2. Which statement describes the rate of change of the following function?
f(x) = 2x + 7
A. / The function has a varying rate of change when x > 7.B. / The function has a constant rate of change, increasing for all x at a rate of 2.
C. / The function has a constant rate of change, increasing for all x at a rate of 7.
D. / The function has a varying rate of change when x > 2.
Write your response here:
(show your work)
3. 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 - 12s. Which statement is correct?
A. / The remaining credit hours increase by 12 for each semester completed.B. / The remaining credit hours decrease by 130 for each semester completed.
C. / The remaining credit hours increase by 130 for each semester completed.
D. / The remaining credit hours decrease by 12 for each semester completed.
Write your response here:
(show your work)
Write your response here:
(show your work)
44444$4. A pizza buffet has prepared 19 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation y = 15x + 19 can be used to describe the total number of pizzas that have been placed out on the buffet line, where x represents every 9 minutes after 11:00 a.m. Which statement best describes the rate of change in the number of pizzas set out on the buffet?
A. / Every 18 minutes, 40 more pizzas were set out on the buffet.B. / Every 18 minutes, 30 more pizzas were set out on the buffet.
C. / Every 9 minutes, 25 more pizzas were set out on the buffet.
D. / Every 18 minutes, 15 more pizzas were set out on the buffet.
Write your response here:
(show your work)
5. Which of the following situations represents a linear relationship?
A. / A town loses one-half of its population every 10 years.B. / The population of a town doubles every 10 years.
C. / The population of a town increases by 1,000 people every year.
D. / The population in a town increases by 7 percent each year.
Write your response here:
(show your work)
6. The population of a town y years after 1970 is 31,747 + 1,302y. Which statement is correct?
A. / The population decreased by 1,302 people each year after 1970.B. / The population increased by 1,302 people each year after 1970.
C. / The population increased by 31,747 people each year after 1970.
D. / The population decreased by 31,747 people each year after 1970.
Write your response here:
(show your work)
Write your response here:
(show your work)
7. 77. Which of the following situations represents a linear relationship?
A. / The value of a car is decreasing by 7 percent each year.B. / A train travels 45 miles every hour after departing the station.
C. / The number of bacteria in a lab experiment triples every hour.
D. / The area covered by a circular area rug depends on the radius of the rug.
8. For Spring Break, Jenny and her friends are planning a road trip from Houston, Texas, to Los Angeles, California. With almost all of the trip on Interstate 10, the total distance will be 1,250 miles one-way. If they average 60 miles per hour on the trip, to the nearest half hour, how long will it take Jenny and her friends to get there?
A. / 21 hoursB. / 19 hours
C. / 22.5 hours
D. / 23 hours
Write your response here:
(show your work)
9.
The graph shows the altitude, a, of a plane, in feet, after t minutes. What is the rate of ascent of the airplane?
A. / 175 feet per minuteB. / 150 feet per minute
C. / 120 feet per minute
D. / 125 feet per minute
Write your response here:
(show your work)
Write your response here:
(show your work)
10. Cesar needs 3.5 cups of flour to make a cake that will serve 14 people. If Cesar wants to make enough cake to serve 28 people, how many cups of flour will he need?
A. / 7B. / 3.5
C. / 6.5
D. / 5.5
Write your response here:
(show your work)
11. 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?
30 / 66
50 / 110
70 / 154
A. / 220
B. / 88
C. / 110
D. / 132
Write your response here:
(show your work)
12.
The graph shows the distance a car can travel, d, on g gallons of gasoline. How many miles per gallon does the car get?
A. / 20 miles per gallonB. / 35 miles per gallon
C. / 30 miles per gallon
D. / 25 miles per gallon
Write your response here:
(show your work)
13. The amount of fuel, in gallons, in a vehicle's fuel tank after driving m miles is 25 - 0.04m.
Which statement is correct?
B. / For every mile the car is driven, the amount of fuel increases by 0.04 gallons.
C. / For every mile the car is driven, the amount of fuel decreases by 25 gallons.
D. / For every mile the car is driven, the amount of fuel increases by 25 gallons.
Write your response here:
(show your work)
14. Landry has made 2,043 cups of coffee with her coffeemaker, and she has changed the reusable filter 8 times. If the coffeemaker came with one filter already in it, how many cups of coffee did Landry make per coffee filter?
A. / 16,344B. / 204
C. / 255
D. / 227
Write your response here:
(show your work)