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MAFS.912.F-IF.1.2 Level 4

Total questions: 13

Worksheet time: 1hrs 21mins

Name
Class
Date
1.

Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, 𝑓(𝑑), as a function of the number of days, d, he has exercised with the new routine. Which statement represents a correct interpretation of 𝑓(𝑑)?

a)

𝑓(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his new routine

b)

𝑓(10) = 3,500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.

c)

𝑓(15) = 5,250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.

d)

𝑓(30) = 10,500 means the number of calories Vincent has used times 30 is equal to 10,500.

2.

The number of miles a car can be driven depends on the number of gallons of gas in its tank. The function m = 25g models a situation in which a car gets 25 miles per gallon. If the gas tank holds 20 gallons of gas, which inequality represents its range?

a)

0 ≤ 𝑔 ≤ 20

b)

0 ≤ 𝑚 ≤ 500

c)

𝑚 ≤ 500

d)

𝑔 ≤ 20

3.

The number of miles a car can be driven depends on the number of gallons of gas in its tank. The function m = 25g models a situation in which a car gets 25 miles per gallon. If the gas tank holds 20 gallons of gas, which inequality represents its domain?

a)

0 ≤ 𝑔 ≤ 20

b)

0 ≤ 𝑚 ≤ 500

c)

𝑚 ≤ 500

d)

𝑔 ≤ 20

e)

g > 20

4.

The height, ℎ, in feet, of an object thrown upward from a height of 144 feet is a function of time, 𝑡, in seconds. The height can be determined by the function ℎ(𝑡) = −16𝑡^2 + 128𝑡 + 144 . What is the height of the object at 3 seconds?

a)

144 ft

b)

384 ft

c)

432 ft

d)

672 ft

5.

What is the value of 𝑓(16) − 𝑓(0) when 𝑓(𝑥) = 4𝑥 – 8?

a)

16

b)

48

c)

56

d)

64

6.

. In 1997 there were 31 laptop computers at Grove High School. Starting in 1998 the school bought 20 more laptop computers at the end of each year. The equation 𝑇 = 20𝑥 + 31 can be used to determine 𝑇, the total number of laptop computers at the school 𝑥 years after 1997. What was the total number of laptop computers at Grove High School at the end of 2005?

a)

160

b)

171

c)

191

d)

268

7.

What value on the graph corresponds to f(6)?

a)

3

b)

0

c)

7

d)

6

8.

If f (x) = 12x + 14, what is the range value for the domain value 3?

a)

50

b)

40

c)

36

d)

18

9.

Given the table, what value of x corresponds to f(x) = 10?

a)

7

b)

14

c)

13

d)

8

10.

For some function f, the percentage of battery life remaining is dependent on the number of minutes that a cell phone has been in use. What does f(22) represent?

a)

a phone has f(x) percent of battery left after 22 minutes

b)

A phone has 22% charge after x minutes

c)

A phone can send 22 texts with x% of battery

d)

I can buy 22 phones if I have x batteries

11.
A local youth group is planning a trip to a local amusement park. They are taking their church bus which holds 32 people. It will cost $25 for parking and tickets to enter the park are $22.50 per person. The equation that models this situation is: f(x) = 22.5x + 25, where f(x) represents the cost for the group to go the park and x represents the number of people who go on this excursion. What is the domain for this situation?
a)
[25, 745]
b)
all real numbers
c)
[0, ∞)
d)
[0, 32]
12.
Let P(x)=15x - 40 represent the profit Braxton makes on his jewelry boxes. How long will it take to make a profit $200?
a)
15
b)
16
c)
17
d)
18
13.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week