Question

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
How much would the printing cost be for 1000 copies for a 76 page magazine $=?

Answer 1

Let's assume that the cost of printing one magazine with 76 pages is $x.

Since the cost is jointly proportional to the number of pages and the number of magazines printed, we can write this relationship as:

c = k * p * m

where c is the cost, p is the number of pages, m is the number of magazines, and k is the constant of proportionality.

We need to find the value of k in order to determine the cost for 1000 copies.

To find k, we can use the given information that the cost of printing one magazine with 76 pages is $x. Substituting these values into the equation, we get:

x = k * 76 * 1

Now, to find k, we can divide both sides of the equation by 76:

k = x/76

Now we can determine the cost for 1000 copies. Given that m = 1000 and p = 76, we can substitute these values into the equation:

c = (x/76) * 76 * 1000

Simplifying, we get:

c = x * 1000

Therefore, the cost of printing 1000 copies of a 76-page magazine would be $1000 times the cost of printing one magazine with 76 pages.