Question

Juan's income consists of atleast $37,500 salary plus 5% commission on all of his sales x. Which inequality represents Juan's income in one year?

A. y > 37,500 + 5
B. y < 37,500 + 5x
C. y > x + 0.05(37,500)
D. y > 37,500 + 0.05x​

Answer 1

`\boxed{\text{D. y $\geq$ 37 500 + 0.05x}}`

Explanation:

y = Juan's income

$37 500 = his salary

x = his sales

0.05x = his commission on sales

$37 500 + 0.05x = his salary + commission

Juan's income must at least equal his salary + commission.

None of the options is correct, but the closest one is D.

`\text{The condition is }\boxed{\mathbf{y \geq 37 500 + 0.05x}}`