Answer: tell me if i am wrong
p = 304
Step-by-step explanation:
Given p is inversely proportional to q² then the equation relating them is
p = [tex]\frac{k}{q^{2} }[/tex] ← k is the constant of proportion
To find k use the condition p = 19 when q is 8, then
19 = [tex]\frac{k}{8^{2} }[/tex] =[tex]\frac{k}{64}[/tex] ( multiply both sides by 64 )
k = 1216
p = [tex]\frac{1216}{q^{2} }[/tex] ← equation of proportion
When q = 2, then
p = [tex]\frac{1216}{2^{2} }[/tex]=[tex]\frac{1216}{4}[/tex]=304
