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=?
We can write the equation for the cost as:
c = kp * pm
We are given that the cost c is $50.312.5 for 3500 copies of a 115-page magazine. Therefore, we have:
50.312.5 = k * 3500 * 115
To find the constant of proportionality k, we can solve for it:
k = 50.312.5 / (3500 * 115)
k = 0.00128
So, the constant of proportionality k is 0.00128.
To find the constant of proportionality, k, we can use the given information. We know that the cost, c, is jointly proportional to the number of pages, p, and the number of magazines printed, m. Mathematically, this can be expressed as:
c = k * p * m
We are given that the printing cost is $50.312.5 for 3500 copies of a 115-page magazine. Substituting these values into the equation, we get:
50,312.5 = k * 115 * 3500
Now we can solve for k by rearranging the equation:
k = 50,312.5 / (115 * 3500)
Calculating this expression gives us:
k ≈ 0.123
Therefore, the constant of proportionality, k, is approximately 0.123.