Doug starts his day at the video game arcade with $25.00. Each game costs $0.75. Which function models the sequence showing the money Doug has left after each video game that he plays?

Answer 1

Let's represent the money Doug has left after playing n video games as f(n).

Initially, Doug has $25.00:

f(0) = $25.00

After playing 1 game, he will have $25.00 - $0.75 = $24.25 left:

f(1) = $25.00 - $0.75 = $24.25

After playing 2 games, he will have $24.25 - $0.75 = $23.50 left:

f(2) = $24.25 - $0.75 = $23.50

Following this pattern, we can see that each time Doug plays a game, he will subtract $0.75 from the amount he has left. Therefore, the function that models the sequence showing the money Doug has left after playing n games is:

f(n) = $25.00 - $0.75n