Suppose c and d vary inversely, and d = 2 when c = 17.
Write an equation that models the variation?
Find d when c = 68

Solution:

The definition of inverse proportion states that "Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity".

In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.

It is given that c and d varies inversely

d = 2, c = 17

1. The inverse equation will be

c = k/d

Where k is the constant value

17 = k/2

k = 34

2. If c = k/d

d = k/c

Substituting the values

d = 34/68

d = 0.5

Therefore, the equation which models the variation is k = 34 and d is 0.5