Piecewise Function Word Problems

Piecewise Function Word Problems

Assessment

Assessment

Created by

Veronica Elfe

Mathematics, Other

9th Grade

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8 questions

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1.

Multiple Choice

2 mins

1 pt

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

15 mins

1 pt

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

2 mins

12 pts

Media Image

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

2 mins

1 pt

Media Image

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

2 mins

12 pts

Media Image

$12.75

$35

$43.40

$27.75

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