Linear vs Nonlinear Functions Increasing Decreasing

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.

Which linear function has the greatest slope?

• A

• B

• C

• D

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

Which kitten grows fastest? What is it's rate of change?

• Kitten A with a rate of change of 3

• Kitten B with a rate of change of 4

• Kitten A with a rate of change of 4

• Kitten B with a rate of change of 3

Who is going at a faster rate and why?

• The tortoise because it got a head start

• The hare because its line is more steep

• They are going the same speed because the lines crossed

• I don't know

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

• Starting with $5 and losing $2 each day

• Starting with $2 and gaining $5 each day

• Starting with $5 and gaining $2 each day

• Starting with $2 and losing $5 each day