At her juice parlor, Mrs. Jones makes a different amount of fruit punch each day by mixing grape juice and peach juice. The table shows the amount of grape juice, g, and the amount of peach juice, p, Mrs. Jones uses to make different quantities of the punch.
Amount of
Grape Juice, g
(in liters) Amount of
Peach Juice, p
(in liters)
11.5 6.9
17.5 10.5
20.5 12.3
26.5 15.9
34.5 20.7
Which equation represents the proportional relationship between the amounts of grape juice and peach juice?
A.
B.
C.
D.
The proportional relationship between the amounts of grape juice and peach juice can be determined by looking at the ratio of grape juice to peach juice for each quantity of fruit punch.
For the first set of values, the ratio is 11.5/6.9 = 1.667
For the second set of values, the ratio is 17.5/10.5 = 1.667
For the third set of values, the ratio is 20.5/12.3 = 1.667
For the fourth set of values, the ratio is 26.5/15.9 = 1.667
For the fifth set of values, the ratio is 34.5/20.7 = 1.667
Since the ratio is the same for all sets of values, the equation representing the proportional relationship is:
g/p = 11.5/6.9 = 17.5/10.5 = 20.5/12.3 = 26.5/15.9 = 34.5/20.7