Answer:
The Inverse variation says that:
,
then the equation is of the form:
or

Here, r represents the number of roses and w represents the number of weeds.
As per the statement:
The number of roses (r) in a garden increases when the number of weeds (w) decreases.
by definition of inverse variation:
....[1]
From the given table:
take any points
r = 20 and w = 10 then;
Substitute in [1] we have;
Simplify:
k = 200
The equation becomes:
We have to find the number of roses when there are 5 weeds.
⇒w = 5
then;
Divide both sides by 5 we get;
r = 40
Therefore, the number of roses are 40 when there are 5 weeds.