Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w = [tex]\frac{k}{m}[/tex] ← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 = [tex]\frac{k}{25}[/tex] ( multiply both sides by 25 )
200 = k
w = [tex]\frac{200}{m}[/tex] ← equation of variation
When w = 20 , then
20 = [tex]\frac{200}{m}[/tex] ( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
