Problem 759

The maximum number of grams of fat (F) that should be in a diet varies directly as a person’s weight (W). A person weighting 120 lb should have no more than 80 g of fat day. What is the maximum daily fat intake for a person weighing 66 pounds?

 

Solution:-

 

Since the number of grams of fat (F) in a diet varies directly as a person weight (W), you can use the form:

F = kW.

To find the variation constant, substitute 80 for 80 F and 120 for W and solve for k.

80 = k * 120.

Solve for k.

k = \frac{2}{3}

The equation of variation is F = \frac{2}{3} W.

Now, use the equation of variation to find the maximum number of grams of fat intake for a person weighing 66 lb.

F = \frac{2}{3}* 66

F = 44

A person weighting 66 lb will have a maximum daily fat intake of 44 g.

 

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