Jimmy receives his first 3 video games free then pays $50 for each game after that. is the amount of money he spends on video games proportional to the number of games he owns?

The amount of money he spends on video games is not proportional to the number of games he owns

Step-by-step 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