The monthly demand for a company’s sports caps varies directly as the amount spent on advertising and inversely as the square of the price per cap. at $15 per cap, when $2500 is spent each week on ads, the demand is 300 caps. when advertising is increased to $3000, what price yields a demand of 300 caps?

Step-by-step explanation:

Let be "y" the monthly demand for the company’s sports caps, "x" the amount in dollar spent on advertising and "z"the price ind dollars per cap.

The model for this situation is:

Where "k" is the constant of proportionality.

Since when and , we can substitute values into and solve for "k" to finds its value:

Then, in order to calculate what price yields a demand of 300 caps when advertising is increased to $3,000, we must substitute the following values into :

Then:

Solving for "z" we get:

687.09 dollars       happy now

step-by-step explanation: 6870

1857 times .63 equals 1169.91 subtract that from 1857 you get 687.09

1696 hundred thousand

step-by-step explanation: