Piecewise Function Word Problems

Assessment
•
Veronica Elfe
•
Mathematics, Other
•
9th Grade
•
196 plays
•
Medium
Student preview

8 questions
Show answers
1.
Multiple Choice
The amount Lea can earn at her job is shown:
She earns $7 per hour for the first 40 hours.
She earns 1.5 times the hourly wage for every hour over 40 hours.
Which piecewise-defined function best represents Lea’s weekly pay, P(h), where h represents the hours worked?
P(h)= 7h, 0≤h≤40
P(h)=10.5h−140, h>40
P(h)= 7h, 0<h<40
P(h)= 10.5h−140, h>40
P(h)= 7h, 0≤h≤40
P(h)= 10.5h+140, h≥40
P(h)= 7h, 0<h<40
P(h)= 10.5h+140, h≥40
2.
Multiple Choice
Mr. Garrison’s class is collecting aluminum cans to raise money for a trip. The rates are shown:
$0.75 per pound for a collection weighing 10 pounds or less
$1.25 per pound for a collection weighing more than 10 pounds.
What are the domain and range for a collection that weighs more than 10 pounds?
{x x<10}
{x x<10}
{y y<$12.50}
{x x>10}
{x x>10}
{y y>$12.50}
{x x<10}
{x x<10}
{y y<$7.50}
{x x>10}
{x x>10}
{y y>$7.50}
3.
Multiple Choice
A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.
How much does he earn for a 70 hour week?
$1020
$1140
$840
He works for free!
4.
Multiple Choice
A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.
How much does he earn for a 45 hour week?
$2025
$570
$680
He works for free!
5.
Multiple Choice
$12.75
$35
$43.40
$27.75
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