Construct a function [8.AF.16]

Eric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4. So far he has sold 20 shirts. He uses the equation y = 4x − 110 to calculate his profit. In the equation y = 4x − 110, which is the constant term?

• 4

• 4x

• x

• −110

Eric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4. So far he has sold 20 shirts. He uses the equation y = 4x − 110 to calculate his profit. In the equation y = 4x − 110, which is the coefficient term?

• 4

• 4x

• x

• −110

Eric sells shirts. It costs him $100 to buy all the shirts and $10, total, to print designs on them. Eric sells each shirt for $4. So far he has sold 20 shirts. He uses the equation y = 4x − 110 to calculate his profit. In the equation y = 4x − 110, which is the variable term?

• 4

• 4x

• x

• −110

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function f(x) = 435 + 1200x, where x is measured in weeks. What is the meaning of the coefficient 1200?

• It is the amount still to be raised.

• It is the amount which is left over.

• It is the amount they raise each week.

• It is the amount they started with.

A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function f(x) = 435 + 1200x, where x is measured in weeks. What is the meaning of the coefficient 435?

• It is the amount still to be raised.

• It is the amount which is left over.

• It is the amount they raise each week.

• It is the amount they started with.

Up and Running Auto Shop is tracking their regular customers' data to see if there is a relationship between the life of a car's engine and the number of times the oil is changed. The equation for the line of best fit for the data shown on the scatter plot is y = .4125x + .1576. What does .1576 represent in the equation?

• .1576 represents the expected longevity increase of the engine each time the oil is changed.

• .1576 represents the expected longevity of the engine before any oil changes.

• 1576 represents the expected longevity of the engine with one oil change.

• .1576 represents the expected longevity of the engine each time the car is driven.

Up and Running Auto Shop is tracking their regular customers' data to see if there is a relationship between the life of a car's engine and the number of times the oil is changed. The equation for the line of best fit for the data shown on the scatter plot is y = .4125x + .1576. What does .4125 represent in the equation?

• .4125 represents the expected longevity increase of the engine each time the oil is changed.

• .4125 represents the expected longevity of the engine before any oil changes.

• .4125 represents the expected longevity of the engine with one oil change.

• .4125 represents the expected longevity of the engine each time the car is driven.

Mrs. Wiggins started a savings account in March of 2003. On March 2007, she had $4,200. On March 2015, she had $10,400. If Mrs. Wiggin's saving is modeled by a linear function, what was her initial deposit?

• $1,100

• $1,500

• $3000

• $700

Mrs. Drummond is building a deck around her pool. Her contractor charges $525 for labor plus an additional $4.75 per square foot for materials. Formulate a function that can be used to determine the cost, in dollars, for a deck with an area of x square feet.

• f(x) = 4.75x + 525

• f(x) = 4.75x + 525x

• f(x) = 4.75x

• f(x) = 525x + 4.75

Mrs. Drummond is building a deck around her pool. Her contractor charges $525 for labor plus an additional $4.75 per square foot for materials. Formulate a function that can be used to determine the cost, in dollars, for a deck with an area of x square feet.

• f(x) = 4.75x + 525

• f(x) = 4.75x + 525x

• f(x) = 4.75x

• f(x) = 525x + 4.75