Question

A baker requires 21 ounces of flour to make a loaf of bread. Given that the amount of flour the baker needs, w ounces, is directly proportional to the number of loaves that he bakes, and. identify the constant of proportionality and write a direct proportion equation.

Answer 1

Constant of proportionality, k = 21

`w \propto n\\w = kn\\w = 21n`

Explanation:

We are given the following in the question:

The amount of flour required is directly proportional to the number loaf of breads made.

Let w be the weight of flour and n be the number of loaf of breads.

Thus, we can write,

`w \propto n\\w = kn`

where k is the constant of proportionality.

21 ounces of flour is required to make 1 loaf of bread.

Putting these values, we get,

`21 = k(1)\\\Rightarrow k = 21`

Thus, the equation giving relation between weight of bread and number of loafs of bread is

`w = 21n`