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SAT® Math

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Predicting Car Sales

SATMAT-EBTL4K

A car dealer finds that as she increases the asking price for a certain model of car, the number of cars she sells decreases linearly. In particular, past data show that for every $ {\$1000} $ increase in price, she loses $5$ customers. If she lists the asking price at $ {\$20,000} $, she sells $5$ cars.

Which function shows the number of cars sold, $ N $, as a function of the asking price, $ p $?

A

$ N(p)=21,000-\cfrac { -5 }{ 1000 } p $

B

$ N(p)=-5p+21,000 $

C

$ N(p)=105-\cfrac { 5 }{ 1000 } p $

D

$ N(p)=\cfrac { 5 }{ 1000 } p-105 $