Answer:
The amount of money he spends on video games is not proportional to the number of games he owns
Explanation:
Given : Jimmy receives his first 3 video games free .
After that he pays $50 for each game.
To Find : Is the amount of money he spends on video games proportional to the number of games he owns?
Solution :
Let total no. of games he own = x
Out of x games 3 games are free of cost
Thus the no. of games for which he paid = x-3
Cost of 1 game is $50
Cost of (x-3) games = y = 50(x-3)
Thus total amount y = 50 (x-3) = 50x - 150 ---(a)
Now to check the proportionality
Condition of proportionality : y ∝ x
⇒y = k x
Compare (a) with the condition we can see that it is not in the general form of proportionality which is given above . Since (a) ha s constant -150.
Thus , the amount of money he spends on video games is not proportional to the number of games he owns