Question

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin. If a 200 calorie muffin has 500 grams of sugar. How many calories are in a muffin with 2,075 grams of sugar

Answer 1

830 calories

Explanation:

The number of calories in a muffin is directly proportional to the amount of sugar in the muffin.

Let the number of muffins be N and the amount of sugar in the muffin be A. This means that:

N α A

=> N = kA

where k = constant of proportionality

A 200 calorie muffin has 500 grams of sugar.

This implies that:

200 = k * 500

=> k = 200 / 500 = 2/5

The constant of proportionality is 2/5.

The number of calories in a muffin with 2075 grams of sugar is:

N = 2/5 * 2075

N = 830 calories

There are 830 calories.