Q:

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: 17 ounces of nuts to 22.1 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)

Accepted Solution

A:
Answer: C) (3, 3.9)(65, 84.5)(24, 31.2)
 
Explanation:

Ou choice is C) and we just need to prove that 17:22.1 = 3:3.9. First, we will change the ratios into fractions so that

[tex]\boxed{ \frac{17}{22.1} = \frac{3}{3.9}}[/tex]

To prove the above equation we use cross multiplication so that

17(3.9) = 3(22.1)
66.3 = 66.3

Which is a true equation. Therefore, 17:22.1 = 3:3.9.