Answer:
m = 36
n = 3
Step-by-step explanation:
y varies inversely with x can be written as y ≅ 1/x. As x goes up, y will go down. We need a factor, N, to account for how much change occurs with each step. There needs to be a factor involved, F, to account for how much change occurs with each step.
Calculate the factor by using one of the known points. I'll use (8,9):
y = F/x
9 = F/8
F = 72
The relation becomes y = 72/x. Check this on the other given point, (12,6):
y = 72/x
6 = 72/12 ? YES
Now use y = 72/x to find the two missing points, (m,2) and (24,n):
(m,2) 2 = 72/m, m = 36
(24,n) n = 72/24; n = 3
