Question

Write and graph the inverse variation in which y = 8 when x = –4.

Answer 1

For this case we have that an inverse variation in a function is given by:

`y = k / x`
For this case, we must find the value of the constant k.
To do this, we substitute the values of x = -4, y = 8.
We have then:

`8 = k / -4`
Clearing k we have:

`k = (8) * (- 4) k = -32`
Substituting the value of k we have that the inverse variation is:

`y = -32 / x`
Note: see attached image.
Answer:

`y = -32 / x`
See attached image.