Respuesta :
Answer:
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, [tex]W = k * F[/tex] ............................. (1)
i.e., [tex]99 = k * 66[/tex]
therefore, [tex]k = 99/66[/tex]
[tex]= 1.5[/tex]
From equations (1), the maximum daily fat intake (F) for a person having weight, W = 117 lb can be written as;
[tex]117 = k*F[/tex], where [tex]k = 1.5[/tex]
i.e., [tex]117 = 1.5 * F[/tex]
therefore, [tex]F = 117/1.5[/tex]
[tex]= 78[/tex]
Thus, the maximum daily fat intake for a person weighing 117 lb is 78 g.
