Question

Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department at least 260260260person-hours per week. Tom has one part-time employee who works 202020 hours per week. Each full-time employee works 404040 hours per week. Write an inequality to determine nnn, the number of full-time employees Tom must schedule, so that his employees will work at least 260260260 person-hours per week.

Answer 1

Set up the inequality:

Add the part-timer's hours of 20

Full time hours is 40 times n employees

At least means greater than or equal to, so we use the >= sign

40n + 20 >= 260

Answer 2

The inequality will be:
`40n+20\geq 260`

Tom must schedule at least 6 full-time employees.

Explanation:

Each full-time employee works 40 hours per week.

If the number of full-time employees is
`n`, then
`n` number of full-time employees work
`40n` hours per week.

Tom has one part-time employee who works 20 hours per week.

So, the total hours worked by all employees
`= (40n+20)` hours.

Given that, all his employees will work at least 260 person-hours per week.

So, the inequality will be:
`40n+20\geq 260`

Solving the above inequality.....

`40n+20\geq 260\\ \\ 40n\geq 260-20\\ \\ 40n\geq 240\\ \\ n\geq (240)/(40)\\ \\ n\geq 6`

So, Tom must schedule at least 6 full-time employees.