The maximum number of grams of fat (f) that should be in a diet varies directly as a person’s weight (w). A person weighing 147 lb should have no more than 98 g of fat per day. What is the maximum daily fat intake for a person weighing 63 lb?

The maximum daily fat intake for a person who weighs 63lbs should be 42.21g since the amount of fat consumed should directly vary in relation to an individual's weight.

Explanation:

In this case, we are dealing with a direct variation problem.

Direct variation is when one variable increases or decreases as the other does as well; the formula for this concept is y=kx, where y and x are the variables and k is the constant of variation.

We know that someone who weighs 147lbs should consume no more than 98g of fat, so we can set up the equation 98 = k * 147. Solving for k, we find that k = 98/147 = 0.67.

Therefore, for a person weighing 63lbs, we can calculate the maximum daily fat intake by plugging the values back into the variation formula: f = 0.67 * w or f = 0.67 * 63 which equals 42.21g.

Hence the maximum daily fat intake for a person weighing 63lbs should be no more than 42.21g.

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