Question tanya-

3.1 Ratios, Rates, and Proportional Relationships - Direct/inverse proportionality
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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?

A.

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

B.

3 plus 13 point 5 0 z

C.

3 z plus 13 point 5 0 z

D.

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

Tanya earns $13.50 per hour at her part-time job. When she works z hours, she earns

Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Direct/inverse proportionality. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

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.