The cost c of printing a magazine is jointly proportional to the number of pages p in the magazine and the number of magazines printed m

Find the constant of proportionality if the printing cost is $50,312.5 for 3500 copies of a 115 page magazine k=?

1 answer

To find the constant of proportionality, we need to set up a proportion using the given information.

The cost c is jointly proportional to the number of pages p and the number of magazines printed m, so we can write the equation as c = kp * m.

We are given that the printing cost is $50,312.5 for 3500 copies of a 115-page magazine.

Plugging in these values into the equation, we get: $50,312.5 = k * 115 * 3500.

Simplifying the equation, we get: $50,312.5 = 402500 * k.

To solve for k, divide both sides of the equation by 402500: k = $50,312.5 / 402500.

Now, divide the numerator and denominator by 125 to simplify the fraction: k = $403 / 3220.

Therefore, the constant of proportionality is approximately k = $0.125.