Answer:
The maximum daily fat intake for a person weighing 117 lb is 78 g.
Step-by-step 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.