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? |

k=30 rt=30 r=15(2)

Step-by-step explanation: If quantity t varies inversely with a quantity r ,

Then mathematically t α 1/r,

Introducing a constant, t = k/r .

When t = 6 then r = 5,

therefore, 6 = k/5

                k = 6×5

                 k = 30   (Constant of variation)       

 Which means the equation connecting t and r will be t = 30/r

To find the value of t when r = 15, we use the equation of this variation

such that, t = 30/15

                t = 2