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- 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
- 6. Multiple ChoiceA state income tax uses a piecewise-defined function to calculate taxes owed, T(i), where i is the annual income. What are the taxes owed if Charles has an annual income of $45,000?$1,150$1,250$13,300$21,500
- 7. Multiple Choice
A state income tax uses a piecewise-defined function to calculate taxes owed, T(i), where i is the annual income. What are the taxes owed if Charles has an annual income of $30,000?
$850
$1,250
$1,300
$700
- 8. Multiple Choice
Luke has a $25 gift card to pay for video game rentals. The first five games he can rent for $3 each. After five games each game cost $1. Which piecewise function best represents the balance remaining on the gift card, f(x), after each game rental, x?
f(x)= 25−3x, 0≤x≤5
f(x)= 15−x, 6≤x≤10
f(x)= 25−3x, 0<x<5
f(x)= 15−x, 6<x<10
f(x)= 25+3x, 0≤x≤5
f(x)= 15+x, 6≤x≤10
f(x)= 25+3x, 0<x<5
f(x)=15+x, 6<x<10
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