4.6 Construct 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

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

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.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

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.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

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.

Tags

CCSS.8.F.B.4

CCSS.8.SP.A.3

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

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. Which equation could represent this situation?

• 840 = 35 x + 20

• 840 = 35 x + 45

• y = mx

• 20=840 x + 20

The trade-in value, V, of a certain model of automobile can be determined using the function V(x)=25000-0.25x, where x is the mileage. Which of the following statements is the best interpretation of the slope?

• The value of the car increases as the mileage increases.
• The selling price of the car when it is new is $25,000.
• The trade-in value of the car decreases $4 for every additional mile driven.
• The trade-in value of the car decreases $1 for every additional 4 miles driven.

Tags

CCSS.HSF.LE.B.5

CCSS.HSS.ID.C.7

On a car trip, Theresa kept a record of her gas mileage. She discovered that for every 23 miles, she used 1 gallon of gas. Which of the following equations model this situation?

• x=y+23
• x=23y
• y=x+23
• y=23x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1