Compare Functions Represented Differently

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Is this function linear or nonlinear?

• Linear

• Nonlinear

Is this function linear or nonlinear?

• Linear

• Nonlinear

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month? 

• Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.

• Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.

• Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.

• Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.

Is the table linear or nonlinear?

• Linear

• Nonlinear

Compare the rates of change.

• The rate of change of item I is greater than the rate of change of item II.

• The rate of change of item I is equal to the rate of change of item II.

• The rate of change of item II is greater than the rate of change of item I.

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Determine if the following functions are increasing or decreasing.

• Both functions are decreasing.

• The function in item I is increasing, and the function in item II is decreasing.

• The function in item I is decreasing, and the function in item II is increasing.

• Both functions are increasing.

Compare the initial values and rate of change of both functions.

• Both functions have the same initial value and rate of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values differ.

• The initial values are the same, but the rates of change differ.