Comparing Functions

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

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

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 80 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

Alicia and Melissa did jumping jacks. The table shows the number of jumping jacks that Alicia had done in different amounts of time. The graph shows the number of jumping jacks that Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks?

• Melissa did 6 more jumping jacks per minute than Alicia.

• Alicia did 6 more jumping jacks per minute than Melissa.

• Melissa did 5 more jumping jacks per minute than Alicia.

• Alicia did 5 more jumping jacks per minute than Melissa.

Which of the following functions best models the relationship shown in the table above?

• f(x) = x⁵

• f(x) = 2(4)^x

• f(x) = x + 2

• f(x) = 6x + 2

Two functions are given below and graphed.

For which of the following values of x is g(x) > f(x)?

• x > 4

• x > 2

• 2 < x < 4

• 0 < x < 2 and x > 4

What type of function does this table represent?

• Linear Function

• Exponential Function

• Quadratic Function

• None of these

Select the type of function and the reason.

• Quadratic

• Exponential

• common second differences of 3

• common ratio of 3

• common ratio of 1/3

Select the type of function and the reason.

• Quadratic

• Linear

• common second differences of 2

• common second differences of -2

• common first differences of 3

• Function C has a smaller y-intercept than Function A.

• Function C has a smaller y-intercept than Function B.

• Function B has a greater y-intercept than Function D.

• Function B has a greater y-intercept than Function C.