Question

You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.

Answer 1

`c + r \leq 10`

`7.5c + 10r \geq 56`

Explanation:

Given

Hours = not more than 10

Earnings = At least 56

Required

Represent this as a system of inequalities

Let c represents the cleaning job

Let r represents the retail job

The number of hours

Not more than means
`\leq 10`

So:

`c + r \leq 10`

Earnings

c = 7.50 per hour

r = 10 per hour

Earnings = At least 56

At least 56 means
`\geq 56`

So;

`7.5c + 10r \geq 56`

Hence, the system is:

`c + r \leq 10`

`7.5c + 10r \geq 56`