contestada

A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sold if the price is $9.50, how many items can be sold of the price is $8.75? Round your answer to the nearest whole number.

A company has determined that the number of items it sells varies inversely as the price of the item If 20000 items can be sold if the price is 950 how many ite class=

Respuesta :

Let N be the number of items sold and p the price. 
Since the variation is inverse, then the relation between N and p is:
[tex]N=k\dfrac{1}{p}[/tex]
For N=20000 and p = $9.5, we get the formula:
 [tex]20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000[/tex]
If p = 8.75, then the number of items sold can be computed using the formula:
[tex]N= 190000\dfrac{1}{8.75}=21714 \text{ total items}[/tex]