Respuesta :
Answer:
t = [tex]\frac{10.5}{v}[/tex]
Step-by-step explanation:
since t varies inversely with v then the equation relating them is
t = [tex]\frac{k}{v}[/tex] ← k is the constant of variation
to find k use the given condition n = 7, t = 1.5 then
k = vt = 7 × 1.5 = 10.5
t = [tex]\frac{10.5}{v}[/tex] ← is the equation
The equation model is [tex]$\mathrm{t}=\frac{10.5}{v}[/tex].
Constant of proportionality
Given the time t, it takes for a group of volunteers to clean up a park varies inversely with the number of volunteers v.
Therefore, we could write in inverse relation between t and v as
[tex]$\mathrm{t}=\frac{k}{v}[/tex] , where k is the constant of proportionality.
since t varies inversely with v then the equation relating them is
[tex]$\mathrm{t}=\frac{k}{v}[/tex]
to find k use the given condition n=7, t=1.5 then
[tex]$k=v t=7 \times 1.5[/tex]
k = 10.5
So, we got the value of the constant of proportionality = 8.75.
Plugging k= 8.25 in inverse relation, we get
Therefore, the equation model is [tex]$\mathrm{t}=\frac{10.5}{v}[/tex].
To learn more about the constant of proportionality
https://brainly.com/question/13441754
#SPJ2
