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?

Step-by-step 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

, 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

On cross multiplying, we get

k= 8.75.

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

Plugging k= 8.25 in inverse relation, we get

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