Compare Rates of Change for Functions

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change

• A has a greater rate of change than B

• A and B both have negative rates of change

• A has a negative ROC and B has a positive ROC

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for 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

What has the GREATER rate of change. y = 5x +15 OR the graph

• y = 5x + 15

• 

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Rate of change is also known as ...

• initial value

• slope

• algebra

• y-intercept

Compare the rates that each rental store charges per hour.

• Water's Edge Rafts has a lower rate because they charge $6 per hour.

• Water's Edge Rafts has a lower rate because they charge $5 per hour.

• Ryan's Rafts has a lower rate because they charge $2.25 per hour.

• Ryan's Rafts has a lower rate because they charge $15.00 per hour.

Which company should you use if you rent the raft for 9 hours?

• Water's Edge Rafts

• Ryan's Rafts

The following are rates of change for different functions. Order the rates from steepest to least steep.

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same slope

• This cannot be determined.