Web Analytics

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 5 volunteers 2.5 hours to clean up the park, which of the following equations models this situation

Verified Answer :

t = k/v
1.5 = k/7
k = 10.5

so we have :
t = 10.5/v

Answer:

\(v*t=12.5\) or \(v=12.5/t\) or \(t=12.5/v\)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form \(y*x=k\) or \(y=k/x\)

Let

v-------> the numbers of volunteers

t-------> the amount of time

Find the constant k

\(v*t=k\)

we have

\(t=2.5\ hours,v=5\ volunteers\)

substitute

\(5*2.5=k\)

\(k=12.5\)

the equation that models the situation is equal to

\(v*t=12.5\) or \(v=12.5/t\) or \(t=12.5/v\)