Question

URGENT The calorie count of a serving of food can be computed based on its composition of​ carbohydrates, fat, and protein. The calorie count C for a serving of food can be computed using the formula Chf​p, where h is the number of grams of carbohydrate contained in the​ serving, f is the number of grams of fat contained in the​ serving, and p is the number of grams of protein contained in the serving. Solve this formula for​ f, the number of grams of fat contained in a serving of food.

Answer 1

To find the grams of fat (f) in a serving of food, rearrange the given caloric content formula to f = (C - (4 × h) - (4 × p)) / 9, where C is the total calories, h is the grams of carbohydrates, and p is the grams of protein.

Step-by-step explanation:

To solve for f, the number of grams of fat contained in a serving of food, using the provided formula CC is determined by the calories provided by each macronutrient. Carbohydrates (h) and proteins (p) both provide about 4 Calories per gram, while fats (f) provide about 9 Calories per gram. The formula reflecting the total calorie count from these components looks something like:

C = (4 × h) + (9 × f) + (4 × p)

If we were to solve this equation for f, the number of grams of fat, we would rearrange the equation as follows:

f = (​C - (4 × h) - (4 × p)) / 9

This equation allows us to determine the grams of fat based on the total calories and the grams of both carbohydrates and protein in a serving of food. Given the calorie values provided by the Atwater system, the variables h, f, and p can be plugged into this formula to calculate f.