Respuesta :
varying inversely means y=a number divided by x
find the number: 7=k/5 =>k=35
so the equation is y=35/x
find the number: 7=k/5 =>k=35
so the equation is y=35/x
Answer:
[tex]y=35\times\frac{1}{x}[/tex]
Step-by-step explanation:
Given : y varies inversely with x
To Find: Write a function that models the inverse function. x = 5 when y = 7
Solution:
We are given that y varies inversely with x
So, [tex]y \propto \frac{1}{x}[/tex]
[tex]\Rightarrow y=k\times\frac{1}{x}[/tex] ---A
where k is the constant of proportionality
Now we are given that x = 5 when y = 7
So, [tex]\Rightarrow 7=k\times\frac{1}{5}[/tex]
[tex]\Rightarrow 35=k[/tex]
Substitute the value of k in A
[tex]\Rightarrow y=35\times\frac{1}{x}[/tex]
Hence a function that models the inverse function is [tex]y=35\times\frac{1}{x}[/tex] .
