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

Answer:

Y=77/x

Explanation:

Y varies inversely with x meaning

$y\propto\frac{1}{x}$

adding a proportionality constant gives

$y\propto\frac{k}{x}$

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

$11=\frac{k}{7}$

Solving for k gives

$k=77$

Therefore, the function that models the inverse variation is

$y=\frac{77}{x}$

which is our answer!