Eloise is a car salesperson who makes a minimum base pay of $2,500 per month or 8% commission on her monthly sales, whichever is more. If *x* = Eloise’s monthly sales, which expression most accurately describes x when she makes more than her minimum base pay in a month?

A. *x* > 31250

B. *x* ≥ 31250

C. *x* ≤ 32150

D. *x* > 2500

E. *x* ≤ 2500

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Eloise is a car salesperson who makes a minimum base pay of $2,500 per month or 8% commission on her monthly sales, whichever is more. If x = Eloise’s monthly sales, which expression most accurately describes x when she makes more than her minimum base pay in a month?

A. *x* > 31250

B. *x* ≥ 31250

C. *x* ≤ 32150

D. *x* > 2500

E. *x* ≤ 2500

The correct answer is A. Express the equation algebraically as an inequality. Convert 8% to a decimal: 8/100 = 0.08

2500 < 0.08*x*

Divide both sides by 0.08

31250 < *x*

*x* > 31250

Note that it is incorrect to use the ≥ symbol because if she earns exactly $31,250 in monthly of sales, then her commission is exactly 3,1250 • 0.08 = 2,500, and the question asks you to describe *x* when she makes more than her minimum base pay in a month.

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