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 Upper C= 4h+9f+4p​, 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.
A serving of raisins contains 157 calories and 33 grams of carbohydrate. If raisins are a​ fat-free food, how much protein is provided by this serving of​ raisins?

Answer 1

Answer:6.25 grams of protein is provided by this serving of​ raisins.

Step-by-step explanation:

The calorie count C for a serving of food can be computed using the formula,

C= 4h + 9f + 4p​, 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.

A serving of raisins contains 157 calories and 33 grams of carbohydrate. If raisins are a​ fat-free food, if means that f = 0

Therefore

157 = 4 × 33 + 9 × 0 + 4p

157 = 132 + 4p

4p = 157 - 132 = 25

p = 25/4 = 6.25

Answer 2

C= 4h+9f+4p

157=4(33)+9(0)+4p

157-132=4p

25/4=p

6.25=p

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