Free Printable Characteristics of Linear Functions

Worksheets

Characteristics of Linear Functions

Total questions: 22

Worksheet time: 3hrs 4mins

Name

Class

Date

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?

Beth's service ($38 vs. $40) is cheaper

Nate’s service ($42 vs. $44) is cheaper

Nate’s service ($38 vs. $40) is cheaper

Beth's service ($42 vs. $44) is cheaper

Who has the greater rate of change?

CJ has a greater rate of change with 13/2

Holland has a greater rate of change with 6

CJ has a greater rate of change with 2/13

They have the same rate of change.

Who has the greater rate of change?

Tyler has the greater rate of change with 2/3

Aubri has the greater rate of change with 3/2

Tyler has the greater rate of change with 3/2

They have the same rate of change.

Who has the greater rate of change?

Smith has the greater rate of change with 5/4

Harmon has the greater rate of change with 7/2

Smith has the greater rate of change with 4/5

They have the same rate of change.

Who has the greater rate of change?

Smith has the greater rate of change.

Harmon has the greater rate of change.

Macey has the greater rate of change.

They have the same rate of change

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

find the rate of change

3/2

-3/2

(-0,-3)

none of the above

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

The monthly fee

How much Rich pays per visit

The number of times Rich goes to the gym

The total cost at the end of the month

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

The daily fee for the moving truck

The per-mile fee for the moving truck

How much Charlie paid for the truck

The number of miles he drove

10.

Which company shows a greater rate of change?

Water's Edge Rafts

Ryan's Rafts

11.

A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
$f\left(x\right)=30x+25$

What does each of the following represent in the equation?

$30$

$ monthly membership fee

$30x$

$ total monthly membership in x months

$25$

$ initial fee

$30x+25$

$ total paid

12.

Given the function: y = 2x + 2, match the inputs with their outputs.

x = 3

y = 8

x = -3

y = -4

x = 4

y = 10

x = -2

y = -2

x = 0

y = 2

13.

Students' algebra grades can be represented by the function $g(x)=1.37x+51$ where x represents the number of homework assignments he or she did throughout the term. What would you expect a student's grade to be if he or she only did 4.5 homework assignments?

14.

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional coast of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

(a) $\le$ (b) $\le$ (c)

Choose from the below words

$80$

$y$

$440$

$0$

$8$

$10$

$45$

$685$

$x$

15.

The slope is (a) , and the y-intercept is (b) . The graph represents a (c) relationship.

Choose from the below words

negative

non-proportional

positive

proportional

-3

-0.8

16.

A negative sloped line from left to right. (a)

Choose from the below words

Increases

Decreases

Is Horizontal

Is Vertical

17.

A positive sloped line from left to right. (a)

Choose from the below words

Increases

Decreases

Is Horizontal

Is Vertical

18.

What is the rate of change of function h?

19.

What is the rate of change of the linear function?

(a) per hour worked

Choose from the below words

$8.75

$9.25

$10.00

$20.00

20.

Complete the statement that describes the rate of change of the height of the candle with respect to time. Move the correct answer to each box. Not all answers will be used.

The height of the candle (a) at a rate of (b) inches per minute.

Choose from the below words

decreases

0.10

increases

1.0

21.

Coach Ortiz exclusive shoe store charges $400 fee and then an additional 250 per shoe. What is the rate of change in the situation?

Record your answer in the box

22.

What is the range of f(x) = −2x − 4?

All real numbers greater than -2

All real numbers greater than or equal to -4

All real numbers greater than -4

All real numbers

100 %

Characteristics of Linear Functions

Total questions: 22

Worksheet time: 3hrs 4mins

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