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zzz [600]
3 years ago
6

Mahmoud earns $450 per week plus a 20% commission as a car salesman. He wants his

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

The complete question implies that we define an inequality that represents the relationship between the number of hours worked in a week and the weekly sales

The inequality that relates the number of hours to the weekly sales is:

450 + 0.20x \ge 35y

We make use of the following representation:

x \to weekly sales from cars.

y \to hours worked in a week

His weekly salary is then calculated as:

Salary (S) = Earnings per week + Commission * Sales from car

So, we have:

S = 450 + 20\% * x

Express percentage as decimal

S = 450 + 0.20* x

S = 450 + 0.20x

Assume he works for y hours in a week.

His hourly rate is:

Hourly = \frac{S}{y} --- i.e. weekly salary divided by number of hours

Hourly = \frac{450 + 0.20x}{y}

For this rate to be at least \$35, the following condition must be true

Hourly \ge 35 --- i.e. is hourly rate must be greater than or equal 35

So, we have:

\frac{450 + 0.20x}{y} \ge 35

Multiply both sides by y

450 + 0.20x \ge 35y

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