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Priya has a recipe for banana bread. She uses 7 ½ 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=2/9 f B. b=2/5 f C. b=5/2 f D. b=9/2 f

Respuesta :

Answer:

Option B)

[tex]b = \dfrac{2}{5}f[/tex]  

Step-by-step explanation:

We are given the following in the question:

Priya uses [tex]7\frac{1}{2}[/tex] cups of flour to make 3 loaves of banana bread.

Thus, we can write the ration of bread to  amount of flour used as:

[tex]\text{Ratio} = \dfrac{3}{7\frac{1}{2}} = \dfrac{3}{\frac{15}{2}} = \dfrac{6}{15}[/tex]

Now, b loaves of banana bread using f cups of flour.

This measurement will follow the same ratio.

Thus, we can write:

[tex]\dfrac{b}{f} = \dfrac{6}{15}\\\\b = \dfrac{2}{5}f[/tex]

Thus, the correct answer is

Option B)

[tex]b = \dfrac{2}{5}f[/tex]

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