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

Answer:

q = 4

Step-by-step explanation:

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

p = $\frac{k}{q}$ ← k is the constant of variation

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

29 = $\frac{k}{16}$ ( multiply both sides by 16 )

464 = k

p = $\frac{464}{q}$ ← equation of variation

when p = 116 , then

116 = $\frac{464}{q}$ ( multiply both sides by q )

116q = 464 ( divide both sides by 116 )

q = 4