Evaluating and Graphing Step & Piecewise Functions

A delivery service charges $5 for the first mile and $2 for each additional mile. Write a piecewise function to represent the cost of delivery based on the distance traveled. Evaluate the function for a 4-mile delivery.

• 7

• 11

• 9

• 15

A parking garage charges $10 for the first hour and $2 for each additional hour. Create a step function to model the parking fees for up to 5 hours. Graph the function and determine the cost for 3 hours.

• $12

• $10

• $14

• $16

A gym membership costs $30 per month for the first 6 months, and then $20 per month thereafter. Write a piecewise function to represent the total cost after a certain number of months. Evaluate the function for 10 months.

• 180

• 260

• 220

• 300

A taxi company charges a flat fee of $3 plus $1.50 for each mile traveled. Create a piecewise function to represent the total fare based on the distance traveled. Evaluate the function for a 7-mile trip.

• $10.00

• $12.00

• $15.00

• $13.50

A local pool charges $5 for the first hour and $3 for each additional hour. Write a step function to represent the total cost for swimming for up to 4 hours. Graph the function and find the cost for 2.5 hours.

• $12.00

• The cost for 2.5 hours is $9.50.

• $8.50

• $7.00

A concert ticket costs $50 for the first 100 tickets sold, and $75 for each ticket sold thereafter. Write a piecewise function to represent the ticket price based on the number of tickets sold. Evaluate the function for 150 tickets.

• 75

• 50

• 150

• 100

A phone plan costs $20 for the first 500 MB of data and $10 for each additional 500 MB. Create a piecewise function to model the monthly cost based on data usage. Evaluate the function for 1.5 GB of data.

• $40

• $30

• $25

• $50

A subscription service charges $10 for the first month and $5 for each subsequent month. Write a step function to represent the total cost after a certain number of months. Graph the function and determine the cost after 6 months.

• 40

• 30

• 35

• 25

A delivery service charges $4 for the first 2 miles and $1.50 for each additional mile. Create a piecewise function to represent the delivery cost based on distance. Evaluate the function for a 5-mile delivery.

• $10.00

• $6.00

• $8.50

• $7.50

A toll road charges $2 for the first 3 miles and $0.50 for each additional mile. Write a step function to model the toll cost for up to 10 miles. Graph the function and find the cost for a 7-mile trip.

• $3

• $5

• $6

• $4