A company has found that the daily demand p for its boxes of chocolates is inversely proportional to the price x . When the price is $\$ 6$ , the demand is $750$ boxes. Approximate the demand when the price is increased to $\$ 7$ . Round your answer to the nearest number of boxes.
A) $643$ boxes
B) $365$ boxes
C) $707$ boxes
D) $498$ boxes
E) $579$ boxes

Question

Quizplus · Accepted Answer

The demand $p$ is inversely proportional to the price $x$, so $p = k/x$, where $k$ is a constant. Given $p = 750$ when $x = 6$, we find $k = 750*6 = 4500$. For $x = 7$, $p = 4500/7 \approx 643$.

A Company Has Found That the Daily Demand P for Its