Question

Suppose that y varies inversely with x, and y = 6 when x = 8. What is an equation for the inverse variation? (1 point)

Answer 1

`y= (48)/(x)`

Explanation:

Suppose that y varies inversely with x, and y = 6 when x = 8.

y varies inversely with x so the equation is y= k/x

where k is the constant of proportionality

Lets plug in y=6 and x=8 to find out k

`y= (k)/(x)`

`6= (k)/(8)`

multiply both sides by 8

48 = k

Now to get the equation of inverse variable plug in k= 48

`y= (48)/(x)`

Answer 2

The inverse variation between y and x can be expressed as y = k / x where k is the constant of inverse variation. From the given, the equation is,
6 = k / 8
The value of k is 48. Thus, the final equation is,
y = 48 / x