Question

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the constant of proportionality (unit rate)?

Answer 1

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

$P=0.25n$       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

$P\propto n$

$P=kn$            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

$k=0.25$

Therefore, the constant of proportionality is 0.25.