Free Printable Parameter of a Linear Function

Worksheets

Parameter of a Linear Function

Total questions: 20

Worksheet time: 52mins

Name

Class

Date

Suppose you are saving for a new skateboard. You currently have $10 that you put in an envelope to save. Each week you put $5 in that envelope. If this were to be written as a function, how would 10 and 5 be represented?

10 would be the slope; 5 would be the y-intercept

10 would be the y-intercept; 5 would be the slope

15 would be the y-intercept

15 would be the slope

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Describe the parameters of Maggie's situation.

The x-values are positive and the y-values are positive.

The x-values are negative and the y-values are positive

The y-intercept is 6 and the slope is 2.

The y-intercept is 2 and the slope is 6.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

1.5

200

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price per ride?

1.5

21.5

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

21.5

30.50

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?

C = 50h + 25

25 = 5h + 50

425

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?

H = 3c + 5

C = 5h + 3

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

The additional fee of $8.

The initial fee of $25.

The additional fee of $25.

The initial fee of $8.

Which of the following situations could be descried by the equation y= -25x + 120

There are 120 people in the football stadium, and 25 more are entering each hour.

A plumber charges $25 for a house call and $120 per hour.

A teacher has 120 students. Her third period has 25 students

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

10.

If m=3 and b=6, what is the correct slope intercept equation?

y=3-6

y=3x-6

y=3x+6

y=6x+3

11.

What does 'b" represent in y=mx=b

y-intercept

macaroni

nothing

slope

12.

Identify the slope and y-intercept of:
y = 1/5x + 5

slope: 1/6 y-intercept: 4

slope: 1/5 y-intercept: 5

slope: 5/1 y-intercept: 5

slope: 1 y-intercept: 5

13.

Which equation matches the graph?

y = 2x

y = 1/4 x + 2

y = 1x + 4

y = 2x - 3

14.

What is the y-intercept.

y-intercept is -3

y-intercept -2

y-intercept is 3

y-intercept is -1

15.

Describe the slope of the line.

negative slope

0 slope

positive slope

undefined slope

16.

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay?

y = 425x + 600

y = 425 + 600x

y = 400x + 625

y = 400 + 625x

17.

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

18.

Who is losing weight faster?

Valerie

Oscar

Mrs. Conte

They are losing the same amount of weight

19.

Which panda will weigh more at 5 weeks?

Mochi

Kappa

Po the dragon warrior

Jack Black

20.

Which panda is growing faster?