IAR Math Modeling and Application 2

Question 1

A phone plan charges $20 per month plus $0.10 per text. Which equation models the monthly cost C for t texts?

Accepted Answer

C = 20 + 0.10t

Answer

C = 20t + 0.10

Answer

C = 0.10 + 20t

Answer

C = 20 - 0.10t

Question 2

A car travels at a steady 55 miles per hour. How far does it go in 3.5 hours?

Accepted Answer

192.5 miles

Answer

157.5 miles

Answer

165 miles

Answer

180 miles

Question 3

A recipe for 4 servings uses 3 cups of flour. How much flour is needed for 10 servings?

Accepted Answer

7.5 cups

Answer

6 cups

Answer

8 cups

Answer

5 cups

Question 4

A pool fills at 12 gallons per minute and already holds 50 gallons. Which models total gallons G after m minutes?

Accepted Answer

G = 50 + 12m

Answer

G = 12 + 50m

Answer

G = 50m + 12

Answer

G = 62m

Question 5

A store marks up an item costing $40 by 25%. What is the selling price?

Accepted Answer

$50

Answer

$45

Answer

$65

Answer

$48

Question 6

A function gives the height of a ball as h = -16t^2 + 32t. At what time does the ball return to the ground?

Accepted Answer

t = 2 seconds

Answer

t = 1 second

Answer

t = 4 seconds

Answer

t = 16 seconds

Question 7

A worker earns $15 per hour plus a $50 bonus. If she earned $215, how many hours did she work?

Accepted Answer

11 hours

Answer

14 hours

Answer

10 hours

Answer

12 hours