Answer:
The proportionality relationship is fulfilled, so the student is correct
Step-by-step explanation:
We know that to make half a gallon of juice 2 tablespoons of powdered juice are required.
If we call x the number of tablespoons and call p the number of pitchers then we have the following proportion:
[tex]\frac{x}{p} = \frac{2}{1}[/tex]
The proportion between the scoops of powdered drink and the number of pitcher of juice is 2 to 1.
So we want to know how many scoops of powdered juice are needed to get 4 juice pitchers:
Then we multiply:
[tex]8\ scoop * \frac{1\ pitcher\ of\ juice}{2\ scoop} = 4\ pitcher\ of\ juice[/tex] pitcher of juice
The proportionality relationship is fulfilled, so the student is correct