Question

You can work a total of no more than 41 hours each week at your two jobs. Housecleaning 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 housecleaning, x, and at your sales job, y. (select two Inequalities)

Answer 1

Let:

x = numbers of hours you can work housecleaning

y = numbers of hours you can work at your sales work

You can work a total of no more than 41 hours each week, so:

$x+y\leq41$

You need to earn at least $254 each week to pay your bills. and besides, Housecleaning pays $5 per hour and your sales job pays $8 per hour, therefore:

$5x+8y\ge254$