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SAT® Math

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Car Salesmen Earnings

SATMAT-XUYVOY

Mark and Jordan are car salesmen. Mark's weekly compensation consists of ${\$500}$ plus ${2.5}{\%}$ of the total amount of his sales for the week. Jordan's weekly compensation consists of ${\$400}$ plus ${2}{\%}$ of the total amount of his sales for the week. Jordan had $ x $ dollars in total sales last week.

If $ D = \left[ \left( .025 \right) \left( 1.5x \right) +500 \right] -\left[ \left( .02 \right) \left( x \right) +400 \right] $ represents the DIFFERENCE between Mark’s compensation and Jordan's compensation for the week, then which of the following is a correct statement?

(Calculator)

A

Mark's sales were ${50}{\%}$ more than Jordan's last week.

B

Mark was paid a bonus last week, which amounted to an extra ${1.5}{\%}$ of his sales for the week.

C

Mark earned at least ${50}{\%}$ more than Jordan last week.

D

Mark sold ${50}{\%}$ more cars than Jordan last week.