Answer:
It does not show variation
Step-by-step explanation:
Given
Required
Determine if there's direct variation between x and y
The general form of direct variation is:
Make y the subject of formula in the given parameters;
Compare to
<em>Since they are not of the same form, then the given equation do not show direct variation</em>
Let m and j be the current ages of Matthew and Jenny, respectively.
Now, Matthew is 3 times as old as Jenny, so the variables are in the following relation:
In 7 years, both of them will be 7 years older, i.e. their ages will be m+7 and j+7, and Matthew will be twice as old:
Now, remembering that m=3j, we can rewrite the second equation as
So, Jenny is 7 and Matthew is 21 (he's 3 times older).
In fact, in 7 years, they will be 14 and 28, and Matthew will be twice as old.