An equation shows m is directly proportional to n and inversely proportional to
s cubed. When m = 5, then n = 160 and s = 2. What is the constant of
proportionality? Write your answer as a fraction.

Given:

An equation shows m is directly proportional to n and inversely proportional to  s cubed.

This can be written in expression as,

We need to determine the constant of proportionality when m = 5, n = 160 and s = 2.

Constant of proportionality:

The constant of proportionality can be determined by substituting m = 5, n = 160 and s = 2 in the equation

Thus, we have;

Simplifying, we get;

Thus, the value of the constant of proportionality is

a

step-by-step explanation:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.