4-5 to 4-7 Review - Comparing/Constructing Functions; Linear/Non

A greyhound can run at a speed of 55 feet per second. The table shows the speed of a cheetah. Compare their rates of change.

• The greyhound has a greater speed than the cheetah.

• The cheetah has a greater speed than the greyhound.

• They have the same speed.

Scoops, an ice cream shop, charges $2.50 per ice cream sundae. The price of an ice cream sundae at another ice cream shop is represented in the table.

• The price of an ice cream sundae at Scoops has a greater rate of change.

• The price of an ice cream sundae at Sundaes To Go has a greater rate of change.

• The functions have the same rate of change.

The cost to rent a raft from two different companies is shown. Which company should you use if you want to rent a raft for 9 hours? Hint: You need to determine the function for each (rate of change and y intercept)

• Ryan's Rafts; The cost to rent from Ryan's rafts is $33 and the cost to rent from Water's Edge Rafts is $54.

• Water's Edge Rafts; The cost to rent from Ryan's rafts is $135 and the cost to rent from Water's Edge Rafts is $54.

• They are the same price for 9 hours.

Brendan and his family are going to rent bicycles while they are on vacation. The costs to rent bicycles from two different companies are shown below. What is the cost to rent bicycles for 8 days from each company?

The Bicycle Company cost can be found using the function y = 15x + 10

The cost for Island Bike Rentals is shown in the table.

Hint: You need to find the rate of change and y-intercept for the table to write the function for Island Bike Rentals.

• The Bicycle Company would cost $120 and Island Bike Rentals would be $160

• The Bicycle Company would cost $130 and Island Bike Rentals would be $160

• The Bicycle Company would cost $120 and Island Bike Rentals would be $80

Jonas has a certain amount of money in his savings account and he decides that each month he will add $20 to his account. At 24 months, Jonas has $545 in his savings account. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and the initial value.

• Rate: $20 each month added to his account.

  Initial Value: $0; he started out with no money in his account.

• Rate: $20 each month added to his account.

  Initial Value: $50; he started out with $50 in his account.

• Rate: $20 each month added to his account.

  Initial Value: $65; he started out with $65 in his account.

• Rate: $65 each month added to his account.

  Initial Value: $20; he started out with $20 in his account.

The water level in a fishtank increases by 20 inches every 2 minutes. At 8 minutes, the water level in the tank is 92 inches. Find and interpret the rate of change and the initial value. Assume the relationship between the two quantities is linear.

• Rate of Change: 20 inches a minute

  Initial Value: 12 inches of water in the tank to start

• Rate of Change: 20 inches a minute

  Initial Value: 24 inches of water in the tank to start

• Rate of Change: 12 inches a minute

  Initial Value: 20 inches of water in the tank to start

• Rate of Change: 10 inches a minute

  Initial Value: 12 inches of water in the tank to start

A computer repair company charges an initial fee plus $40 per hour for repair work. The total cost for 3 hours of work is $150. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

• Rate of Change: $40 per hour for repairs

  Initial Value: $30 initial fee charged

• Rate of Change: $30 per hour for repairs

  Initial Value: $40 initial fee charged

• Rate of Change: $40 per hour for repairs

  Initial Value: $150 initial fee charged

• Rate of Change: $40 per hour for repairs

  Initial Value: $120 initial fee charged

Which table represents a nonlinear function?

• 
• 
• 
• 

Determine whether each table represents a linear or nonlinear function.

• Linear

• Nonlinear

• Cannot be determined

Determine whether each table represents a linear or nonlinear function.

• Linear

• Nonlinear

• Cannot be determined