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 99 lb should have no more than 66 g of fat per day. What is the maximum daily fat intake for a person weighing 117 lb?

The maximum daily fat intake for a person weighing 117 lb is 78 g.

Explanation:

Fat is a macronutrient which acts as an energy source for the body. It helps in the regulation of hormones and genes, absorption of fat-soluble vitamins such as vitamins A, D, E and K, and maintains brain health.

The maximum daily fat (F) intake varies directly as a person's weight (W). So we can conclude that the weight of a person, W is 'k' times the maximum daily fat intake, F where k is a constant.

In the question, it is given that a person weighing 99 lb should have no more than 66 g of fat per day. Here, W = 99 lb and F = 66 g.

so,   ............................. (1)

i.e.,

therefore,

From equations (1), the maximum daily fat intake (F) for a person having weight, W = 117 lb can be written as;

   , where

i.e.,

therefore,

Thus, the maximum daily fat intake for a person weighing 117 lb is 78 g.

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