Question

Mica is trying to beat his high score on his favorite video game. He unlocks some special mini-games where he earns points for each one he completes. Before he begins playing the mini-games, Mica has 500 points. After completing 1 mini-game he has a total of 550 points. After completing 2 mini-games he has a total of 600 points, and after completing 3 mini-games he has 650 points. a. Think about the total number of points Mica gains from mini-games. Describe the pattern. b. Determine Mica's total points after he plays the next two mini-games.

Answer 1

From this problem we know that the base score is 500 points since Mica start with this score.

After 1 game the score is 550 so then the score for win 1 mini game is:

`\text{Score}=550-500=50`

And we can verify this since 600-550=50 and 650-600=50

Part a

We can conclude that the points that Mica earn on each mini game are 50

Part b

After 1 game: 550

After 2 games: 600

After 3 games: 650

Next two mini games

After 4 games: 700

After 5 games: 750