Question

Priya has a recipe for banana bread. She uses 7 cups of flour to make 3 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour. Which of these equations represents the relationship between b and f?

A. b = 2/5f
B. b = 3/7f
C. b = 7/3f
D. b = 5/2f

Answer 1

The relationship between the number of loaves of banana bread Andre will make (b) and the cups of flour he will use (f) is represented by the equation b = 3/7f, based on the original recipe ratio.

Step-by-step explanation:

To determine the relationship between the number of loaves of banana bread Andre will make (b) and the cups of flour he will use (f), we need to establish a proportional relationship based on Priya's original recipe. Priya uses 7 cups of flour for 3 loaves of bread, which gives us the ratio of flour to loaves as 7 cups:3 loaves. This ratio is simplified to 7/3 when express as a fraction.

Thus, for any given number of loaves (b), Andre will need (7/3) times the number of loaves in cups of flour. When we express this as an equation, we get f = (7/3) * b, which rearranges to b = 3/7f. Therefore, the equation that represents the relationship between b and f is B. b = 3/7f.