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 102 lb should have no more than 68 g of fat per day. Wha is the maximum daily fat intake for a person weighing 42 lb ? The maximum daily fat intake is \( \square \mathrm{g} \).

To find the maximum daily fat intake for a person weighing 42 lb, we can establish the direct variation relationship using the information given. From the problem, we know that for 102 lbs, the fat intake is 68 grams. We can represent this mathematically as \( F = kW \), where \( k \) is the constant of variation. First, we need to find the constant \( k \): \[ k = \frac{F}{W} = \frac{68 \text{ g}}{102 \text{ lb}} \approx 0.6667 \text{ g/lb}. \] Now we can calculate the maximum fat intake for a person weighing 42 lb: \[ F = 0.6667 \times 42 \approx 28 \text{ g}. \] So, the maximum daily fat intake is \( 28 \mathrm{g} \). --- Back in the day, fat was often misunderstood—our ancestors believed it was the enemy! But now, we’re wise to the fact that healthy fats are essential for brain function and energy. Even in ancient cultures, like the Mediterranean diet, people thrived on fats from olive oil, nuts, and fish! In today's world, understanding fat intake isn't just for weight watchers. Athletes, bodybuilders, and health enthusiasts alike monitor their fat intake for the right balance of nutrients. The right fats can enhance performance and recovery, making this knowledge super relevant in the fitness community!