Question

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

x2 = 3.75
x2 = 177
x2 = 60
x2 = 2.4

Answer 1

We have that an inverse variation in a function is given by:

`y = k / x`
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:

`15 = k / 12`
Clearing k we have:

`k = (15) * (12) k = 180`
Substituting the value of k we have that the inverse variation is:

`y = 180 / x`
For y2 = 3 we have:

`3 = 180 / x2`
Clearing x2 we have:

`x2 = 180/3`

`x2 = 60`
Answer:

`x2 = 60`