SAT Linear inequalities in one or two variables Practice Question 12 (Medium)

Question bank / Linear inequalities in one or two variables

Math · AlgebraMedium

A phone has $64$ gigabytes (GB) of storage, and $18.5$ GB are already used. Each video Lin records uses $1.2$ GB. What is the maximum number of videos Lin can record without exceeding the phone's storage?

$37$

$38$

$53$

$15$

Show answer and explanation

Answer: A

The available space is $64 - 18.5 = 45.5$ GB. The number of videos $v$ must satisfy $1.2v \le 45.5$ , so $v \le 37.91\ldots$ . Since $v$ must be a whole number, the maximum is 37.

Choice B rounds $37.91$ up, but 38 videos would need $45.6$ GB, which is more than the $45.5$ GB available.

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