Question

You can work a total of no more than 41 hours each week at your two jobs. Dog walking pays $5 per hour and your sales job pays $8 per hour. You need to earn at least $254 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.

Answer 1

`x+y\leq 41`

`5x+8y\geq 254`

Explanation:

Let the dog walking job be x

And sales job be y

We have to form inequality by the given information:

Work a total of no more than 41 will give us

`x+y\leq 41`

Next condition is: dog walking pays $5 and sales job pays $8 per hour and we have to earn atleast 254 it will give us

`5x+8y\geq 254`

Hence,
`x+y\leq 41`

And
`5x+8y\geq 254`