Answer:
see explanation
Step-by-step explanation:
Given that p varies directly as s² and inversely as r then the equation relating them is
p = [tex]\frac{ks^2}{r}[/tex] ← k is the constant of variation
To find k use the condition when s = 6, r = 3 and p = 48, that is
48 = [tex]\frac{6^2k}{3}[/tex] ( multiply both sides by 3 to clear the fraction
144 = 36k ( divide both sides by 36 )
4 = k , thus
p = [tex]\frac{4s^2}{r}[/tex] ← equation of variation
When s = 10 and r = 5 , then
p = [tex]\frac{4(10)^2}{5}[/tex] = [tex]\frac{400}{5}[/tex] = 80
