Modded SAT Question Bank
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Test
Math
Domain
Problem-Solving and Data Analysis
Skill
Ratios, rates, proportional relationships, and units
Difficulty
Medium
ID: 445dd032
Modded SAT Question Bank by Abdullah Mallik

Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns 13 point 5 0 z dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if she works 3 z hours?

  1. 3 times, open parenthesis, 13 point 5 0 z, close parenthesis

  2. 3 plus 13 point 5 0 z

  3. 3 z plus 13 point 5 0 z

  4. 13 point 5 0 times, open parenthesis, z plus 3, close parenthesis

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Correct Answer: A
Rationale

Choice A is correct. It’s given that when Tanya works z hours, she earns 13 point 5 0 z dollars. Since her hourly rate is constant, if she works 3 times as many hours, or 3 z hours, she will earn 3 times as many dollars, or 3 times, open parenthesis, 13 point 5 0 z, close parenthesis.

Choice B is incorrect. This expression represents adding 3 dollars to the 13 point 5 0 z dollars Tanya will earn. Choice C is incorrect. This expression can be rewritten as 16 point 5 0 z, which implies that Tanya earns $16.50 per hour, not $13.50. Choice D is incorrect. This expression adds 3 to the number of hours Tanya works, rather than multiplying the hours she works by 3.

Question Difficulty: Medium
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