Question

Create the Systems of inequality for the following scenario:

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and
$25/hour mowing lawns. He only has time to work 14 hours before homecoming.

Answer 1

8 x + 25y ≥100

x+y ≤ 14

Explanation:

Hi, to answer this question we to write a system of inequalities.

First inequality:

The product of the earnings per hour working at culvers (8) and the number of hours worked there, plus the product of the earnings per hour mowing lawns (8) and the number of hours mowing must be greater or equal to $100.

Second inequality:

The amount of time he works at culvers (x) plus the amount of time he works mowing lawn (y) must be less or equal to 14 hours.

8 x + 25y ≥100

x+y ≤ 14

Where:

x = number of hours worked at Culvers

y= number of hours worked Mowing lawns