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
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 \(t=12.5/v\)