Each set of (x, y) values represent a set of equivalent ratios. Find the ratio of x to y for each set to determine which set describes the proportional relationship: 40.5 ounces of nuts to 48.6 ounces of raisins.

A) (5, 7) (60, 84) (47, 65.8)

B) (36, 48.6) (2, 2.7) (12, 16.2)

C) (3, 3.9) (65, 84.5) (24, 31.2)

D) (11, 13.2) (99, 118.8) (20, 24)

Question

Mathematics

Gauge Shah

19 August, 01:16

Each set of (x, y) values represent a set of equivalent ratios. Find the ratio of x to y for each set to determine which set describes the proportional relationship: 40.5 ounces of nuts to 48.6 ounces of raisins.

A) (5, 7) (60, 84) (47, 65.8)

B) (36, 48.6) (2, 2.7) (12, 16.2)

C) (3, 3.9) (65, 84.5) (24, 31.2)

D) (11, 13.2) (99, 118.8) (20, 24)

+5

Answers (1)

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Duke · Answer 1

Answer: The correct set is choice D.

We are looking for the same ratio with the given set of measurements. So lets start by determine the ratio of nuts to raisins. It is 40.5 to 48.6 or reduced it is 5 to 6. If you divide the fraction, you get the decimal 0.83333.

Only one of the relationships given has the same ratio. It is choice D. 11 to 13.32 can be divided to get 0.83333.