Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
to find k use the condition p = 29 when q = 16 , then
29 = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )
464 = k
p = [tex]\frac{464}{q}[/tex] ← equation of variation
when p = 116 , then
116 = [tex]\frac{464}{q}[/tex] ( multiply both sides by q )
116q = 464 ( divide both sides by 116 )
q = 4
