# Summer begins from June 1st until August 31st. I can make $6.00 per hour working in a camera...

## Question:

Summer begins from June 1st until August 31st. I can make $6.00 per hour working in a camera shop. $800 is the cost of living expenses. Write equations for earning exactly $1000 and $2000 that include hourly wage and the cost of living expenses. Solve your equations to determine how long in hours and weeks it would take to pay off living expenses.

## Algebraic equations:

Algebraic equations mathematically describe two expressions that are equal to each other. The expressions are composed of any number of terms that include constants, variables and the associated mathematical operations that connect the terms.

## Answer and Explanation:

Earned income is determined by the number of hours worked and the hourly wage. Net income would also be based on the number of hours worked and the hourly wage, but would also include the cost of living expenses. If the net income is $1000 or $2000, the equations representing your financial situation are:

{eq}$1000 = $6(h) - $800 \\ $2000 = $6(h) - $800 {/eq}

Living expenses are paid off when you have earned $800, at this point there would be no net income.

{eq}$0 = $6(h) - $800 \\ $800 = $6(h) \\ 133.33 = h {/eq}

It would take exactly 133.33 hours of working at the camera shop to pay for your living expenses. However, assuming you are only paid for working full hours, this value should be rounded up to 134 hours. If you work 40 hours per week, it would take 3.35 weeks (3 weeks and 14 hours) to pay for your living expenses.

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#### Learn more about this topic:

from Algebra I: High School

Chapter 8 / Lesson 20