Answer
Check Explanation
Step-by-step explanation
We've been told that 2 cups of mix corresponds to 1.5 cups of water.
2 cups of mix = 1.5 cups of water
Let 8 cups of mix be equal to x cups of water
2 cups of mix = 1.5 cups of water
8 cups of mix = x cups of water
We can write a mathematical relationship by cross multiplying
2 × x = 8 × 1.5
2x = 12
Divide both sides by 2
(2x/2) = (12/2)
x = 6 cups of water
Let y cups of mix correspond to 4 cups of water
2 cups of mix = 1.5 cups of water
y cups of mix = 4 cups of water
We can write a mathematical relationship by cross multiplying
1.5 × y = 2 × 4
1.5y = 8
Divide both sides by 1.5
(1.5y/1.5) = (8/1.5)
y = 5.33 cups of mix
b) To write the proportional relationship represented by the table,
We can see that the cups of mix is proportional to the cups of water,
2 cups of mix = 1.5 cups of water
Dividing both sides by 2
1 cup of mix = 0.75 cup of water.
Hope this Helps!!!