The equation y = 3/4x describes the number of calls y a salesperson makes in x minutes. How does y change as x​ changes? Describe what the change means in this situation.

Answer 1

In the equation y = 3/4x, as x changes (increase or decrease), y will also change in direct proportion.

Specifically, for every increase of 1 in x (increase of 1 minute), y will increase by 3/4. Similarly, for every decrease of 1 in x (decrease of 1 minute), y will decrease by 3/4.

This means that for each additional minute the salesperson spends making calls, they can make 3/4 more calls. Conversely, if they spend less time making calls, for every minute less, they will make 3/4 fewer calls. So the change in y reflects the change in the number of calls made by the salesperson as x (minutes) changes.