Question

calculate the grams of fat supplied by a 1,200 - kcalorie diet that is 30 percent fat. select one o a. 20 grams o b. 30 grams o c. 40 grams o d. 50 grams o e. 60 grams

Explanation:

Step1: Find fat calories

The diet is 1200 kcal, 30% from fat. So fat calories = \( 1200 \times 0.30 = 360 \) kcal.

Step2: Convert calories to grams

Fat provides 9 kcal per gram. So grams of fat = \( \frac{360}{9} = 40 \) grams? Wait, no—wait, maybe I made a mistake. Wait, no, let's recheck. Wait, 1200 kcal diet, 30% fat. So fat kcal: \( 1200 \times 0.3 = 360 \) kcal. Fat has 9 kcal/g, so grams = \( 360 \div 9 = 40 \)? But wait, the options have 40 as option C? Wait, no, wait the original problem—wait, maybe I miscalculated. Wait, no, let's do it again. Wait, 1200 kcal, 30% fat: 1200 * 0.3 = 360 kcal from fat. Fat is 9 kcal per gram, so 360 / 9 = 40 grams. So the answer should be C. 40 grams? Wait, but let me check again. Wait, maybe the question is different? Wait, no, the problem says "Calculate the grams of fat supplied by a 1,200 - kcalorie diet that is 30 percent fat." So:

1. Calculate fat calories: \( 1200 \times 0.30 = 360 \) kcal.
2. Convert to grams: Fat provides 9 kcal/g, so \( \frac{360}{9} = 40 \) grams. So the correct option is C. 40 grams.

Wait, but let me confirm the caloric value of fat. Yes, fat has 9 kcal per gram, carbohydrates and protein have 4 kcal per gram. So that's correct. So step 1: find 30% of 1200 kcal. Step 2: divide by 9 kcal/g to get grams.

Answer:

C. 40 grams