Comparing Linear Representations

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

• The y-intercept of Function A is less than the y-intercept of Function B.

• The y-intercept of Function A is greater than the y-intercept of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. If Janet is planning on inviting 24 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

Which statement is true about the Function A, y = 6x + 2 and the Function B that fits the values in the table?

• Function A has the same slope as Function B.

• Function A has the same y-intercept as Function B.

• Function A and Function B are the same function.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

• The monthly fee

• How much Rich pays per visit

• The number of times Rich goes to the gym

• The total cost at the end of the month

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

• Rate of change of Function A is greater than the Rate of change of Function B.

• Rate of change of Function A is less than the Rate of change of Function B.

• Rate of change of Function A is equal to the Rate of change of Function B.

• Rate of change of Function A is greater than the Rate of change of Function B.

• Rate of change of Function A is less than the Rate of change of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

• The y-intercept of Function A is less than the y-intercept of Function B.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. Which coordinator charges the greatest fee per guest?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D