Zane is mixing fruit punch in a 36-cup punch bowl for a party. He plans to add
at least 16 cups of fruit juice to the bowl before adding ginger ale.
Identify the graph that represents the amounts of fruit juice and ginger ale he
can use, and then identify a valid solution. (The graph shows the overlapping
solution region only, not the shading for each inequality.)
A. Valid solution: (20, 12)
B. Valid solution: (20,12)
C. Valid solution: (12,16)
D. Valid solution: (12,16)

He starts wtih 16 cups of fruit juice (x axis) and can UP TO 12 more of ginger ale, (going up the Y axis 12) for a total of 36. But he can pu in any number between 1-12 of gingerale, so the graph shown in A is correct. Also correct on A P E X.

Answer Link

jayilych4real jayilych4real · Answer 2 · 2022-06-22T13:58:40+02:00

The graph that represents the amounts of fruit juice and ginger ale he can use is A. Valid solution: (20, 12).

Calculations and Parameters

A valid solution to the problem that Zane has about mixing fruit punch and fruit juice is given below:

On graph A, there is a valid solution of (20, 12) and this is because:

Zane began with 16 cups of fruit juice on the x-axis

He can add an additional 12 cups of ginger ale in the y-axis

The total would be 36 cups.

But, based on the fact that he can insert any number from 1-12 range of ginger ale, the graph in option A is correct as it shows the proper range on both the x and y-axis.