Question

marcella ate one cup of air - popped popcorn. nutritional facts air - popped popcorn 3 cups calories 92.8 fat 1.1 g carbohydrates 18.7 g sodium 2.2 mg which equation can marcella use to find how many carbohydrates she consumed? o c = 18.7 - 3 o c = 3 x 18.7 o c = 3/18.7 o c = 1.1 x 3

Explanation:

Step1: Identify the ratio relationship

The nutritional - facts table shows that for 3 cups of air - popped popcorn, there are 18.7 g of carbohydrates. Marcella ate 1 cup. Let \(c\) be the amount of carbohydrates she consumed. We use the proportion method. The ratio of cups to carbohydrates is the same. For 3 cups and 18.7 g of carbohydrates, and 1 cup and \(c\) grams of carbohydrates, we have the proportion \(\frac{3}{18.7}=\frac{1}{c}\), which can be rewritten as \(c=\frac{18.7}{3}\). Another way to think about it is that if 3 cups have 18.7 g of carbohydrates, then for 1 cup, we divide the total carbohydrates for 3 cups by 3.

Answer:

None of the given options are correct. The correct equation should be \(c = \frac{18.7}{3}\).