Question

A salesperson makes a base salary of $2000 per month. Once he reaches $40,000 in total sales, he earns an additional 5% commission on the amount in sales over $40,000. Suppose the salesperson sold 95,000 worth of merchandise, what was his salary for that month?

Suppose the salesperson's total salary for the month was $4,800, what was his total sales for the month?

find S(25000) and interpret what it means in context of the problem.

Answer 1

$80000 \times 5\% = 4000$

$4000 + 2000 = 6000$
His salary for that month is $6000.


$4800 - 2000 = 2800$
$x \times 5\% = 2800 \\ x = 2800 \times \frac{100}{5} \\ x = 56000$
His total sales for that month is 56,000 worth of merchandise.

Hope this helps. - M