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:
[tex]x=\frac{k}{p}\\\\k=xp=800\times 5=4000[/tex]
#We substitute for the new x value and the calculated k to solve for p:
[tex]x=\frac{k}{p}\\\\p=\frac{k}{x}\\\\=\frac{4000}{6}\\\\=666.6667\\\\\approx 667\ boxes[/tex]
Hence, the demand at a price of $6 is approximately 667 boxes