Question

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?

Answer 1

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,
`W = k * F` ............................. (1)

i.e.,
`99 = k * 66`

therefore,
`k = 99/66`

`= 1.5`

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

`117 = k*F`, where
`k = 1.5`

i.e.,
`117 = 1.5 * F`

therefore,
`F = 117/1.5`

`= 78`

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