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Tom is the deli manager at a grocery store. He needs to schedule employees to staff the deli department at least 260 person-hours per week. Tom has one part-time employee who works 20 hours per week. Each full-time employee works 40 hours per week. Write an inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Verified Answer :

metchelle

The expression that could best describe the statement would be " 40 n + 20 \(\geq\) 260.

Answer:

\(260\leq 20+40n\)

Step-by-step explanation:

Given :

Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

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

Each full-time employee works 40 hours per week.

To Find: An inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week.

Solution :

Suppose that there are n number of full time employees.

Since each full time employee work for 40 hours per week .

So, n full time employees work for 40*n =40 n hours per week

And we are given that he  has one part-time employee who works 20 hours per week. so, this part time employee hours are fixed .

Since ,  Tom needs to schedule employees to staff the deli department at least 260 person-hours per week.

Thus inequality becomes :

\(260\leq 20+40n\)

Hence the inequality to determine n, the number of full-time employees Tom must schedule, so that his employees will work at least 260 person-hours per week :

\(260\leq 20+40n\)


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