Answer :
The maximum daily fat intake for a person weighing 102lb is 68 g of fat.
Given the following data:
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 114lb should have no more than 76 g of fat per day.
To find: The maximum daily fat intake for a person weighing 102lb.
Let "F" be the maximum number of grams of fat that a person can consume daily.
Let "W" be the weight of the person in pounds. Then we have:F ∝ W (The maximum number of grams of fat (F) that should be in a diet varies directly as a person's weight (W)).
So we can write:F = kW ------------ (1),
Where "k" is a constant of proportionality.To find the value of "k" we can use the given data.A person weighing 114lb should have no more than 76 g of fat per day.So when W = 114, F = 76.
Using equation (1), we get:76 = k(114)k = 76/114k = 2/3.Now we have:k = 2/3 (constant of proportionality).
We can use equation (1) to find the maximum daily fat intake for a person weighing 102lb.F = kW = (2/3)(102) = 68.
So the maximum daily fat intake for a person weighing 102lb is 68 g of fat.
For a person weighing 102lb, the maximum daily fat intake is 68 g of fat.
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