Construct and Interpret Linear Functions

A school wants to rent a cotton candy machine for a fundraiser. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115, Assume the relationship is linear. What is the rate of change. How much is the deposit?

• ROC: $8/1 hr; Deposit Fee: $115

• ROC 8 hours/$1 Deposit Fee: $5

• ROC $8/1 hr Deposit Fee: $75

• ROC $5/1 hr; Deposit Fee: $75

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

• The art club had $45 to begin with.

• The art club makes $45 per member.

• The art club has $300 to start with.

Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Find and interpret the initial value.

• There were 4 movie trailers.

• The theater had 7 people to start with

• The theater had 54 people to start with.

• The theater had 75 people to start with.

The population of DeSoto rose an average of 142 people per year. After 5 years, the population was 5,428 people. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

• ROC: The population DECREASED by 142 people per year.

  Initial value: There were 5,248 people in the town to start with.

• ROC: The population INCREASED by 142 people per year.

  Initial value: There were 4,718 people in the town to start with.

• ROC: The population INCREASED by 142 people per year.

  Initial value: There were 5, 428 people in the town to start with.

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2

Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation?

• y=5x+2

• y=2x-5

• y=5x-2

• y=2x+5

The diagram shows a linear function of g. What is the value of k.

• 5

• 4

• 7

• 8

Mr. Lewis is having the exterior of his house painted. The painters charge $35 per hour plus the cost of materials. After 20 hours of work, Mr. Lewis owes the painters $840. Assume the relationship is linear. Which statement is TRUE?

• The rate of change is $20 per hour.

• The cost of the materials is $840.

• The $35 rate of change represents the total cost to paint the house

• The cost of the materials was $140.

Luka starts out with a certain number of baseball cards and plans to collect 8 each month. At the end of a year, he has 109 baseball cards. Assume the relationship is linear. Which statement is true?

• Luka started out with 13 baseball cards.

• The rate of change is 12 cards per month.

• The initial value represents the number of cards Luka collects each month.

• Luka started out with 101 baseball cards.

The cost of having photos taken includes a sitting fee and $12 for each portrait. The cost of 3, 6, and 9 photos respectively is $51, $87 and $123. What is the sitting fee?

• The sitting fee is $13.67

• The sitting fee is $39.00

• The sitting fee is $15.00

• The sitting fee is $12.00