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

Answer 1

t = k/v 1.5 = k/7 k = 10.5 so we have : t = 10.5/v

Answer 2

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 $t=12.5/v$