Question

Varies directly to N, and M = 12n when N = 4. what is M if N = 10

Answer 1

To find M when N is 10, first determine the constant of variation k from the given values and then apply it to the direct variation equation. In this case, M is 30 when N is 10.

Step-by-step explanation:

The question is asking to find the value of M when N equals 10, given that M varies directly as N and M is 12 when N is 4.

This relationship can be expressed by the direct variation equation M = kN, where k is the constant of variation. To find k, we use the fact that M is 12 when N is 4. So, 12 = k(4), which gives k = 3.

Now, we want to find M when N is 10, which can be found by substituting N with 10 into the direct variation equation: M = kN = 3(10), therefore M = 30.