Question

Greg earns $14 per hour at his office job, along with a $25 weekly bonus. The following inequality represents his earnings on his last paycheck, where h represents the number of hours.

14h+25>305

Which answer correctly interprets the inequality?
Greg worked less than 14 hours.
Greg worked more than 20 hours.
Greg worked more than 14 hours.
Greg worked less than 20 hours.

Answer 1

Greg worked more than 20 hours.

Explanation:

Let's solve the inequality for
`h` so we know how many hours Greg worked:

Step 1. Subtract 25 from both sides of the inequality

`14h+25>305`

`14h+25-25>305-25`

`14h>280`

Step 2. Divide both sides by 14

`(14h)/(14) >(280)/(14)`

`h>20`

We can conclude that Greg worked more than 20 hours.