Question

Determine whether quantities vary directly or inversely and find the constant of variation. A mill processes 27 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if the rate of production stays the same? Find constant of variation too.

Answer 1

T = kh   where t = tons and h = hours,  k is the constant of variation

This is direct variation.

27 = k*3

 = 27/3 = 9

Equation of variation is  t = 9h

Amount produced in 8 hours  t  = 9*8  = 72 tons Answer