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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)

Respuesta :

calculista

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 [tex]x\leq35[/tex]

[tex]E=14x[/tex]

therefore

the answer part a) is

[tex]E=14x[/tex]

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

[tex]T=14*35+20y[/tex]

[tex]T=\$490+20y[/tex]

therefore

the answer part b) is

[tex]T=\$490+20y[/tex]

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

we know that

[tex]35\ hours=\$490[/tex]

[tex]\$610-\$490=\$120[/tex]

Divide [tex]\$120[/tex] by  [tex]\$20[/tex]----> to obtain the hours of overtime

[tex]\frac{120}{20}=6\ hours\ of\ overtime[/tex]

So

Allison works

[tex]35+6=41\ hours[/tex]

[tex]Regular=35\ hours\\ Overtime=6\ hours[/tex]

therefore

the answer part c) is

[tex]Regular=35\ hours\\ Overtime=6\ hours[/tex]

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