Question

A recipe calls for 3.5 cups of flour for 48 cookies. What is the constant of proportionality of cookies made (y) to the cups of flour used (x)? Round the answer to the nearest tenth.

A) 13.7
B) 14.7
C) 13.0
D) 14.0

Answer 1

To find the constant of proportionality of cookies to flour, divide the number of cookies by the cups of flour and round to the nearest tenth. The result is 13.7, which is option A).

Step-by-step explanation:

To determine the constant of proportionality (also known as the unit rate) of cookies made (y) to the cups of flour used (x), we must divide the total number of cookies by the total amount of flour used. For 3.5 cups of flour, 48 cookies can be made. Therefore, the constant of proportionality is calculated as:

Constant of proportionality = Number of cookies ÷ Cups of flour

Constant of proportionality = 48 cookies ÷ 3.5 cups of flour

Constant of proportionality = 13.7143...

When rounded to the nearest tenth, the constant of proportionality is 13.7, which corresponds to option A).