Lesson 5 Skills Practice - 8TH GRADE MATH DEPARTMENT

NAME _____________________________________________ DATE _____________________________ PERIOD _____________

Lesson 5 Skills Practice

Proportional and Non-Proportional Functions

1. Cassie is downloading music and games onto her phone. It costs $0.99 to download a song to her phone. The costs of downloading games are shown in the graph. Determine whether the function is proportional or non-proportional. Explain

2. The number of gallons y a pool drains in x minutes is represented by the function y = 20x. The table shows the time it takes to fill up a pool. Determine whether the function is proportional or non-proportional. Explain.

Number of Minutes

1 2 3

Number of Gallons

15 30 45

3. y = 15x + 10, where y is the total cost of renting a bicycle on the boardwalk for x hours. Determine whether the function is proportional or non-proportional. Explain.

4. The admission for the chess team to go to the waterpark can be represented by the equation y = 12x, where y is the total cost of admission for x students. Determine whether the function is proportional or non-proportional. Explain.

5. The local taxi charges $3.00 plus $1.25 for every mile traveled. Determine whether the function is proportional or non-proportional. Explain.

Course 3 ? Chapter 4 Functions

NAME _____________________________________________ DATE _____________________________ PERIOD _____________

Lesson 5 Extra Practice Proportional and Non-Proportional Functions

Determine whether each function is proportional or non-proportional. Explain.

1. y = 7.5x, where y represents total money spent for x tickets

2. r = 15h + 20, where r represents the total cost of renting a bicycle for h hours

3. Morgan takes a walk almost every day. The graph shows the traveled after the number of seconds. Determine whether the proportional or proportional. Justify your response.

First part: 4 feet per second; Second part: 5 feet per rate for the last three miles is greater by one foot per

distance function is non-

second. The second.

4. The fees to print pictures from an online company are shown in the table. Is the function proportional? Explain.

Number of Pictures 1

2

3

4

Total Cost ($)

0.09 0.18 0.27 0.36

Course 3 ? Chapter 4 Functions

NAME _____________________________________________ DATE _____________________________ PERIOD _____________

Lesson 5 Homework Practice

Proportional and Non-Proportional Functions

1. Paolo's Portraits charges $12 per photo with no sitting fee. The graph shows the fees for Clear Image Studio. Determine whether the function is proportional or non-proportional. Justify your response.

2. Joshua earns a salary plus a commission for every painting he sells. The equation c = 40p + 75, where c is the commission in dollars and p is the number of paintings, represents how much he earns. Martin's commissions are shown in the table. Determine whether the function is proportional or non-proportional. Explain.

Number of Paintings Sold

Commission ($)

1

2

3

115 150 185

3. The table shows the cost for traveling on a toll road in Henderson. The graph shows the cost of traveling on a toll road in Clarkson. Compare the linear functions to determine whether they are proportional or non-proportional. Justify your response.

Henderson Toll Road Costs

Miles Traveled

Cost ($)

10

3

20

6

30

9

Course 3 ? Chapter 4 Functions

NAME _____________________________________________ DATE _____________________________ PERIOD _____________

Lesson 5 Problem-Solving Practice

Proportional and Non-Proportional Functions

1. Elyse kept track of the number of steps she took in a day using a pedometer. The table below shows the number of steps per hour that Elyse walked. Determine if the function is proportional or non-proportional. Explain.

2. The graph shows the number of miles David rode in the bike-a-thon. After the first hour, he rode 10 miles. Determine if the function is proportional or nonproportional. Explain.

Number of Hours 1 2 3

Number of Steps 575 1,050 1,525

3. For guided group tours at a local art gallery, there is a reduced admission price of $2.50 for each person in the group plus a $10 guide fee. The function can be written as y = 2.5x + 10 where y equals the total charge for x people in the group. Determine if the function is proportional or non-proportional. Explain.

4. On a recent vacation, the Thomas' car averaged 30 miles per gallon on the trip where y is the total miles driven at 30 miles per gallon for x gallons of gas. The function can be written Determine if this average is a proportional or non-proportional function. Explain.

Course 3 ? Chapter 4 Functions

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