Question

A company has found that the daily demand x for its boxes of chocolates is inversely proportional to the price p. When the price is $9, the demand is 1,800 boxes. Approximate the demand, in boxes, when the price is decreased to $2.25.

Answer 1

The demand in boxes will be 7,200 when the price is decreased to $2.25

Explanation:

Here, in this question, we have an inverse relationship between the daily demand x for boxes and price p of the boxes

Mathematically,

xp = k

where k is the constant of proportionality between the two terms

Now let’s calculate the value of this constant;

k = 9 * 1800 = 16,200

Now we want to calculate the the demand at a decreased price of $2.25

This will be equal to;

x = k/p = 16,200/2.25 = 7,200