College

A recipe calls for 2 tablespoons of butter for 4 cups of flour.

1. What equation represents the number of tablespoons of butter, \( b \), needed for \( f \) cups of flour?
2. How many tablespoons of butter are needed for 9 cups of flour?

Constant of Proportionality:

Answer :

The required number of tablespoons for 9 cups of flour is 4.5 and the value of the constant proportionality is 1/2.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
Let the x be the number of cups of flour and y be the number of tablespoons,

According to the question,
y = kx, - - - - - -(1)


Now,
y = 2 and x = 4
2 = k4
k = 2 / 4
k = 1/2

Put k in equation 1,
y = 1/2x

Now, put x = 9
y = 9 / 2
y = 4.5 tablespoons of butter.

Thus, the required number of tablespoons for 9 cups of flour is 4.5 and the value of the constant proportionality is 1/2.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ2
4 1/2 because if you do 4 divided by 9 you get 2 1/4 so you would then multiply 2 1/2 by your 2 tablespoons of butter go get 4 1/2

Other Questions