Question one-po

3.1 Ratios, Rates, and Proportional Relationships - Direct/inverse proportionality
0:00

One pound of grapes costs $2. At this rate, how many dollars will pounds of grapes cost?

A.

2 c

B.

2 plus c

C.

the fraction 2 over c

D.

the fraction c over 2

One pound of grapes costs $2. At this rate, how many dollars will c pounds of

Easy-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. If one pound of grapes costs $2, two pounds of grapes will cost 2 times $2, three pounds of grapes will cost 3 times $2, and so on. Therefore, c pounds of grapes will cost c times $2, which is 2c dollars.

Choice B is incorrect and may result from incorrectly adding instead of multiplying. Choice C is incorrect and may result from assuming that c pounds cost $2, and then finding the cost per pound. Choice D is incorrect and could result from incorrectly assuming that 2 pounds cost $c, and then finding the cost per pound.