3 years ago

Answer this and I will make your day better just watch!!!!

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer: :) hi! <3

Step-by-step explanation:

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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:

$y=\frac{kx}{z^2}$

Where "k" is the constant of proportionality.

Since $y=300$ when $z=15$ and $x=2,500$ , we can substitute values into $y=\frac{kx}{z^2}$ and solve for "k" to finds its value:

$300=\frac{k(2,500)}{15^2}\\\\\frac{(300)(15^2)}{2,500}=k\\\\k=27$

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 $y=\frac{kx}{z^2}$ :

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Then:

$300=\frac{(27)(3,000)}{z^2}$

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