Question

Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a busboy this month, and let u be the number of hours he works as an usher. His goal this month is to earn more than $1500 total. Using the values and variables given, write an inequality describing this.

Answer 1

The inequality describing the situation is:

`7b+9u>1500`

Explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be =
`b` hours

∴ Amount Joe would make this month working as a busboy =
`\$7* b=\$7b`

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be =
`u` hours

∴ Amount Joe would make this month working as a theater usher =
`\$9* u=\$9u`

Total amount Joe would make this month =
`\$(7b+9u)`

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

`7b+9u>1500`