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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.

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Answer:

n ≤ 6

Step-by-step 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:

[tex]W = 20 +40n[/tex]

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

[tex]260 \geq 20 +40n\\240 \geq 40n\\n \leq \frac{240}{40} \\n \leq 6[/tex]

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