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

Answer:

667 boxes

Step-by-step 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:

$x=\frac{k}{p}\\\\k=xp=800\times 5=4000$

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

$x=\frac{k}{p}\\\\p=\frac{k}{x}\\\\=\frac{4000}{6}\\\\=666.6667\\\\\approx 667\ boxes$

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