Create a table for each set of values. Test each table for equivalent ratios to find which set of values describes the proportional relationship of the two quantities.
66 ounces of peanuts to 89.1 ounces of walnuts
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)
its B idk y but it is i promise
To determine which set of values describes the proportional relationship of the two quantities, we need to test each table for equivalent ratios.
To find the ratio, divide the ounces of peanuts by the ounces of walnuts. In this case, the ratio should be the same for all sets of values.
Let's calculate the ratios for each table:
A) (5, 7): 5/7 ≈ 0.71
(60, 84): 60/84 ≈ 0.71
(47, 65.8): 47/65.8 ≈ 0.71
B) (36, 48.6): 36/48.6 ≈ 0.74
(2, 2.7): 2/2.7 ≈ 0.74
(12, 16.2): 12/16.2 ≈ 0.74
C) (3, 3.9): 3/3.9 ≈ 0.77
(65, 84.5): 65/84.5 ≈ 0.77
(24, 31.2): 24/31.2 ≈ 0.77
D) (11, 13.2): 11/13.2 ≈ 0.83
(99, 118.8): 99/118.8 ≈ 0.83
(20, 24): 20/24 ≈ 0.83
By comparing the ratios, we can see that set D) has equivalent ratios (0.83), indicating a proportional relationship between the ounces of peanuts and walnuts. Therefore, set D) describes the proportional relationship of the two quantities.