solve p varies directly as the square of s and inversely as r, when s=6,r=3,and p=48 find the value of p when s =10and r=5

see explanation

Step-by-step explanation:

Given that p varies directly as s² and inversely as r then the equation relating them is

p = ← k is the constant of variation

To find k use the condition when s = 6, r = 3 and p = 48, that is

48 = ( multiply both sides by 3 to clear the fraction

144 = 36k ( divide both sides by 36 )

4 = k , thus

p = ← equation of variation

When s = 10 and r = 5 , then

p = = = 80