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 $5, the demand is 800 boxes. Approximate the demand when the price is increased to $6.

Answer 1

667 boxes

Explanation:

-Given that x is the demand and p the price.

-Let k be the constant of proportionality. We then express the inverse relationship as:

`x=(k)/(p)\\\\k=xp=800* 5=4000`

#We substitute for the new x value and the calculated k to solve for p:

`x=(k)/(p)\\\\p=(k)/(x)\\\\=(4000)/(6)\\\\=666.6667\\\\\approx 667\ boxes`

Hence, the demand at a price of $6 is approximately 667 boxes