Analyzing Piecewise Functions and Their Values in Real Life

A delivery service charges $5 for the first 10 miles and $2 for each additional mile. Write a piecewise function to represent the cost of delivery based on the distance traveled. What is the cost for a delivery of 15 miles?

• 15

• 25

• 10

• 20

A parking garage charges $3 for the first hour and $1 for each additional hour. Create a step function to model the parking fees. How much would it cost to park for 4 hours?

• $7

• $5

• $6

• $4

A local gym has a membership fee of $30 per month for the first 6 months, and then it increases to $50 per month after that. Write a piecewise function for the total cost of membership after 'x' months. What is the total cost after 8 months?

• 350

• 240

• 280

• 300

A water utility company charges a flat rate of $20 for the first 100 gallons of water used, and $0.15 for each additional gallon. Construct a piecewise function for the water bill based on the number of gallons used. What would be the bill for using 150 gallons?

• $30.00

• $25.00

• $27.50

• $22.50

A taxi company charges a base fare of $3 for the first mile and $2 for each additional mile. Write a piecewise function to represent the fare based on the distance traveled. What is the fare for a 5-mile trip?

• $8

• $15

• $11

• $5

A phone plan costs $25 for the first 500 minutes and $0.10 for each additional minute. Create a piecewise function to represent the monthly cost based on the number of minutes used. How much would a user pay if they used 600 minutes?

• $35

• $30

• $40

• $25

A concert ticket costs $50 if purchased more than a month in advance, $70 if purchased between two weeks and a month in advance, and $90 if purchased within two weeks of the concert. Write a piecewise function for the ticket price based on the time of purchase. What is the price if purchased 10 days before the concert?

• $50

• $70

• $90

• $100

A subscription service charges $10 for the first 3 months and $15 for each month thereafter. Create a piecewise function to model the total cost after 'x' months. What is the total cost after 5 months?

• 30

• 50

• 25

• 40

A delivery service charges $10 for the first 5 miles and $3 for each additional mile. Write a piecewise function to represent the cost of delivery based on the distance traveled. What is the cost for a delivery of 12 miles?

• 40

• 15

• 31

• 25

A school charges $200 for the first 10 students and $15 for each additional student. Construct a piecewise function to represent the total cost for 'x' students. What is the total cost for 15 students?

• 275

• 250

• 300

• 200