Question #551c52b9 - SAT Suite Question Bank

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by Abdullah Mallik dedicated to DPT SAT Batches and Someone Special | GitHub

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Test
Math

Domain
Problem-Solving and Data Analysis

Skill
Ratios, rates, proportional relationships, and units

Difficulty
Easy

ID: 551c52b9

Modded SAT Question Bank by Abdullah Mallik

Tilly earns $p$ dollars for every $w$ hours of work. Which expression represents the amount of money, in dollars, Tilly earns for $39 w$ hours of work?

$39 p$
$StartFraction p Over 39 EndFraction$
$p plus 39$
$p minus 39$

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Correct Answer: A

Rationale

Choice A is correct. It’s given that Tilly earns $p$ dollars for every $w$ hours of work. This can be represented by the proportion $\frac{p}{w}$ . The amount of money, $x$ , Tilly earns for $39 w$ hours of work can be found by setting up the proportion $\frac{p}{w} = \frac{x}{39 w}$ . This can be rewritten as $39 p w equals x w$ . Dividing both sides by $w$ results in $x equals 39 p$ .

Choice B is incorrect. This is the amount of money Tilly earns in dollars per hour, not the amount of money Tilly earns for $39 w$ hours of work.

Choice C is incorrect. This is the amount of money Tilly earns for $w$ hours of work plus $39$ , not the amount of money Tilly earns for $39 w$ hours of work.

Choice D is incorrect. This is the amount of money Tilly earns for $w$ hours of work minus $39$ , not the amount of money Tilly earns for $39 w$ hours of work.

Question Difficulty: Easy

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