Question

Suppose that x and y vary inversely, and x = 7 and y=11. Which function models the inverse variation?Answers:Y=1.57xY=77/xY=4/xY=18/x

Answer 1

Y=77/x

Explanation:

Y varies inversely with x meaning

`y\propto(1)/(x)`

adding a proportionality constant gives

`y\propto(k)/(x)`

Now, we are told that y = 11 and x = 7; therefore, the above gives

`11=(k)/(7)`

Solving for k gives

`k=77`

Therefore, the function that models the inverse variation is

`y=(77)/(x)`

which is our answer!