Question

The calorie count of a serving of food can be computed based on its composition of​ carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C=5h+7f+6p, 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

The formula for computing the calorie count C for a serving of food is given by C=5h+7f+6p, where h, f, and p are the number of grams of carbohydrate, fat, and protein contained in the serving, respectively. To solve this formula for f, we need to isolate f on one side of the equation.

We can do this by first subtracting 5h and 6p from both sides of the equation to obtain:

C - 5h - 6p = 7f

Next, we can divide both sides of the equation by 7 to obtain:

f = (C - 5h - 6p) / 7

Therefore, the number of grams of fat contained in a serving of food can be computed using the formula f = (C - 5h - 6p) / 7.

Step-by-step explanation: