Question

find the variation constant and equation of variation where y varies inverseiy as x and y=5
when x=11

Answer 1

In general the inverse variation formula looks like\[y=\frac{k}{x}\]where k is the constant of variation

When x=11 and y=5 we can find k\[5=\frac{k}{11}\]\[k=55\]Then we can write the equation\[y=\frac{55}{x}\]