
Evaluating and Graphing Step & Piecewise Functions
Authored by Anthony Clark
English, Mathematics
11th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
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
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