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Ratios, rates, proportional relationships, and units SAT question
Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.
Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns 
dollars. Which of the following expressions gives the amount, in dollars, Tanya will earn if she works 
hours?
ExplanationShow
Choice A is correct. It’s given that when Tanya works z hours, she earns dollars. Since her hourly rate is constant, if she works 3 times as many hours, or hours, she will earn 3 times as many dollars, or 
.
Choice B is incorrect. This expression represents adding 3 dollars to the dollars Tanya will earn. Choice C is incorrect. This expression can be rewritten as 
, 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.
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