Question

Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department for no more than 260260260 person-hours per week. Tom has one part-time employee who works 202020 person-hours per week. Each full-time employee works 404040 person-hours per week. Write an inequality to determine nnn, the number of full-time employees Tom may schedule, so that his employees work no more than 260260260 person-hours per week.

Answer 1

n ≤ 6

Explanation:

If Tom needs to schedule employees to staff the deli department for no more than 260, the number of hours worked (W) is less than or equal 260 (W ≤ 260).

Assuming that Tom's only part-time employee is assigned to work 20 hours at the deli department, the total number of hours worked is given by:

`W = 20 +40n`

The inequality that determines the number of full-time employees (n) that Tom may schedule is:

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