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?
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