Question

A quantity, t, varies inversely with a quantity, r. Ift = 6, then r = 5.

What is the constant of variation?
k=
What is the equation that represents this variation?
rt =
What is the value of t when r = 15?

Answer 1

Explanation:

if t varies inversely proportional as r, then,

t ∞ 1/r

t = k.1/r

t = k/r

substitute t =6 and r = 5 into the equation above

6 = k/5

k = 5 x 6 = 30

the equation that represents this variation is given by,

t =30/r

tr = 30

when r =15,

t = 30/15

t =2