Question

A pint of premium ice cream can contain 1100 Calories. What mass of fat, in grams and pounds, must be produced in the body to store an extra 1.1 × 10^3 Calories if the average number of Calories for fat is 9.1 Calories/g?

a) 120.9 g, 0.27 lbs
b) 121 g, 0.27 lbs
c) 120 g, 0.26 lbs
d) 121 g, 0.26 lbs

Answer 1

To calculate the mass of fat produced in the body to store an extra 1.1 × 10³ Calories, divide the total Calories by the number of Calories per gram of fat (9.1 Cal/g) to get 120.88 grams, then convert grams to pounds. The correct answer is 121 g or 0.27 lbs, which corresponds to answer choice (b).

Step-by-step explanation:

The student is asking about the conversion of calories into the mass of fat in the body after consuming ice cream with a specific caloric content. To find the mass of fat that corresponds to an extra 1.1 × 10³ Calories, we use the average number of Calories for fat, which is 9.1 Calories/g. The calculation is straightforward, we divide the total Calories by the number of Calories per gram of fat to find the mass in grams:

Total Calories / Calories per gram of fat = Mass of fat in grams

1.1 × 10³ Calories / 9.1 Calories/g = 120.88 g

To convert grams to pounds, we use the conversion factor 1 lb = 453.59237 g:

120.88 g × (1 lb / 453.59237 g) = 0.2666 lbs

When rounding to appropriate significant figures, we get:

• 121 g
• 0.27 lbs

The closest answer that corresponds to these results is (b) 121 g, 0.27 lbs.