Construct Linear Functions

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.

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 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.

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

The amount of snow that falls during a snowstorm is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

The number of math problems Jerry solves is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

The table shows the amount of flour remaining after baking loaves of banana bread. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

The table shows the temperature of an oven as it preheats. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b