Question

the time (t) it takes to clean an office building is directly related to the number of people (p) working. Which of the following equations can be used to find the constant of variation (k)

Answer 1

By definition, Direct variation equations have the following form:

`y=kx`

Where "k" is known as the Constant of variation.

In this exercise you know that "t" represents the time it takes to clean an office building and "p" represents the number of people working, so you know that its equation has this form:

`t=kp`

If you need to find the Constant of variation, you need to solve for "k". To do this, you can apply the Division property of equality by dividing both sides of the equation by "p". Then, you get:

`\begin{gathered} (t)/(p)=(kp)/(p) \\ \\ (t)/(p)=k \end{gathered}`

The answer is: Last option.