Question

M is inversely proportional to the square of (p-1).

When p = 4, m = 5.
Find m when p = 6.

Answer 1

m is inversely proportional to the square of (p-1), and by determining the constant of proportionality when p=4 and m=5, we can find m to be 1.8 when p=6.

Step-by-step explanation:

Since m is inversely proportional to the square of (p-1), we can express it as m = k / (p-1)^2 where k is the constant of proportionality.

With p = 4, we have m = 5, so we can find k like this:

k = m * (p-1)^2 = 5 * (4-1)^2 = 5 * 9 = 45.

Now, to find m when p = 6, we use the same formula with our found value of k:

m = k / (p-1)^2 = 45 / (6-1)^2 = 45 / 25 = 1.8.

Therefore, m is 1.8 when p = 6.

Answer 2

9/5

Step-by-step explanation:

First we have to find the constant k

m = k/(p-1)^2 (p-1)^ goes on the bottom of the fraction because of the inverse.

5 = k/(4-1)^2

5 = k/3^2

5 = k/9 Multiply both side by 9

45 = k We know can use this constant to solve our problem

m = 45/(6-1)^2

m = 45/5^

m = 45/24

m = 9/5