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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

Respuesta :

arastayihe113
t = k/v 1.5 = k/7 k = 10.5 so we have : t = 10.5/v
calculista

Answer:

[tex]v*t=12.5[/tex] or [tex]v=12.5/t[/tex] or [tex]t=12.5/v[/tex]

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 [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

Let

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

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

Find the constant k

[tex]v*t=k[/tex]

we have

[tex]t=2.5\ hours,v=5\ volunteers[/tex]

substitute

[tex]5*2.5=k[/tex]

[tex]k=12.5[/tex]

the equation that models the situation is equal to

[tex]v*t=12.5[/tex] or [tex]v=12.5/t[/tex] or [tex]t=12.5/v[/tex]


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