Question

If p and q vary inversely and p is 29 when q is 16, determine q when p is equal to 116.

Answer 1

q = 4

Explanation:

given p and q vary inversely then the equation relating them is

p =
`(k)/(q)` ← k is the constant of variation

to find k use the condition p = 29 when q = 16 , then

29 =
`(k)/(16)` ( multiply both sides by 16 )

464 = k

p =
`(464)/(q)` ← equation of variation

when p = 116 , then

116 =
`(464)/(q)` ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4