Question

Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the week. Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime.Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points) Part C: Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work? Show your work. (4 points)

Answer 1

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For
`x\leq35`

`E=14x`

therefore

the answer part a) is

`E=14x`

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

`T=14*35+20y`

`T=\$490+20y`

therefore

the answer part b) is

`T=\$490+20y`

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

`35\ hours=\$490`

`\$610-\$490=\$120`

Divide
`\$120` by
`\$20`----> to obtain the hours of overtime

`(120)/(20)=6\ hours\ of\ overtime`

So

Allison works

`35+6=41\ hours`

`Regular=35\ hours\\ Overtime=6\ hours`

therefore

the answer part c) is

`Regular=35\ hours\\ Overtime=6\ hours`