SAT Linear equations in one variable Practice Question 11 (Medium)

Question bank / Linear equations in one variable

Math · AlgebraMedium

Rental company P charges a flat fee of $\$25$ plus $\$0.30$ per mile driven. Rental company Q charges a flat fee of $\$40$ plus $\$0.20$ per mile driven. For how many miles driven will the two companies charge the same amount?

$50$

$75$

$150$

$325$

Show answer and explanation

Answer: C

Set the costs equal: $25 + 0.30m = 40 + 0.20m$ . Subtract $0.20m$ and 25 from both sides: $0.10m = 15$ . Divide by $0.10$ : $m = 150$ .

Choice A divides the fee difference of 15 by $0.30$ instead of by the difference in per-mile rates.

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