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:[tex]C. \ t=\frac{8.75}{v}[/tex]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 [tex]t=\frac{k}{v}[/tex], 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 [tex]1.25=\frac{k}{7}[/tex]On cross multiplying, we get [tex]1.25 \times 7 = k[/tex]k= 8.75.So, we got value of the constant of proportionality = 8.75.Plugging k= 8.25 in inverse relation, we get [tex]t=\frac{8.75}{v}[/tex], which is c option.