A restaurant manager can spend at most $600 a day for operating costs and payroll. It costs $100 each day to operate the bank and $50 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most:

50x + 100 ≤ 600

x ≤ 10
x ≥ 10
x ≥ 12
x ≤ 12

Answer :

Option A

The restaurant Manager can afford at most 10 employees for the day

Solution:

Given that restaurant manager can spend at most $600 a day for operating costs and payroll

It costs $100 each day to operate the bank and $50 dollars a day for each employee

The given inequality is:

[tex]50x + 100\leq 600[/tex]

Where , "x" is the number of employees per day

Let us solve the inequality for "x"

[tex]50x + 100\leq 600[/tex]

Add -100 on both sides of inequality

[tex]50x + 100 - 100\leq 600 - 100\\\\50x\leq 500[/tex]

Divide by 50 on both sides of inequality

[tex]\frac{50x}{50}\leq \frac{500}{50}\\\\x\leq 10[/tex]

Hence the restaurant Manager can afford at most 10 employees for the day

Thus option A is correct

Answer:

A        x ≤ 10

Step-by-step explanation:

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