Question

If y varies inversely as x, and y = 58 when x = 9, find y when x = 261.

Answer 1

y = 2

Explanation:

Y varies indirectly with x (as x gets bigger, y gets smaller)

You have to find k, the constant of proportionality.

y =
`(k)/(x)`

Plus in the x & y values you are given

58 =
`(k)/(9)` Multiply both sides by 9 to solve for k

k= 522

Now plug in the new value of x to solve for y

y =
`(522)/(261)`

y = 2