The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
Let y represent the cups of flour and x represent the cups of sugar. Hence:
3.5 cups of flour for every 1.75 cups of sugar:
y ∝ x
y = kx
k is the constant of proportionality
3.5 = 1.75k
k = 2
y= 2x
If Kareem uses 3.5 cups of sugar, he will need:
y = 2x = 2(3.5) = 7
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
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