Question

The amount of time t it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v. If it takes 7 volunteers 1.25 hours to clean up the park, which of the following equations models this situation?

Answer 1

C

Explanation:

I took the test and verified the above answer

Answer 2

`C. \ t=(8.75)/(v)`

Explanation:

Given the time t it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v.

Therefore, we could write in inverse relation between t and v as

`t=(k)/(v)`, where k is the constant of proportionality.

We also given if it takes 7 volunteers 1.25 hours to clean up the park.

Therefore, plugging t=1.25 and and v=7 in above inverse relation, we get

`1.25=(k)/(7)`

On cross multiplying, we get

`1.25 * 7 = k`

k= 8.75.

So, we got value of the constant of proportionality = 8.75.

Plugging k= 8.25 in inverse relation, we get

`t=(8.75)/(v)`, which is c option.