Answered

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Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?

The constant of proportionality for the amount of flour to sugar in this recipe is ___.

If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.


Sagot :

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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