Question

The amount of time needed to stuff and address envelopes for the local high school's fundraising campaign varies inversely with the number of student and parent volunteers that attend the envelope stuffing event. Last year, it took 20 people 3 hours to stuff and address the envelopes.Find the equation that represents the relationship.

Answer 1

`y=(60)/(x)`

Step-by-step explanation

Let the amount of time needed be y.

Let the number of students and parents be x.

The amount of time needed varies inversely with the number of student and parent volunteers.

The general form of an inverse proportional relationship is:

`y=(k)/(x)`

where k = constant of proportionality.

We have to find k.

It took 20 people 3 hours to stuff and address the envelopes. This means that:

`\begin{gathered} 3=(k)/(20) \\ \Rightarrow k=20\cdot3 \\ k=60 \end{gathered}`

Therefore, the equation for the relationship is:

`y=(60)/(x)`