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: 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