How will the product change if one factor is increased 12 times, and the other one is decreased 4 times

Increase by 3

The answer would increase by a factor of 3

Step-by-step explanation:

You don't specify the terms but this can be applied to general products

Suppose we have an equation of the form

y1 = x1 * g1

And suppose we say

x2 = 12 * x1 (x1 increased 12 times)

g2 = (g1/4) (g1 decreased 4 times)

If we multiply x2 and g2 we get

y2 = x2*g2 = 12 * x1 * (g1/4) = 3 * x1 * g1

y2 = 3 * (x1 * g1) = 3 * y1

The answer would increase by a factor of 3