Question

20

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement
in feet, f, with the constant of variation being 12.
What is the equation relating these two quantities?

Answer 1

`m=12f`

Explanation:

The measurement in inches =m

The measurement in feet = f

We are told that: m varies directly with f

Written mathematically:

`m\propto f`

Introducing the constant of variation, we have:

`m=k f`

Given that: k=12

The equation relating these two quantities is:

`m=12f`