Question

Halfway through the bowling league season, Stewart has 34 strikes. He averages 2 strikes per game. Write and solve an inequality to find how many more games it will take for Stewart to have at least 6 strikes, the league record.

Option A: After 13 more games
Option B: After 14 more games
Option C: After 12 more games
Option D: After 13.5 more games

Answer 1

Stewart needs to play at least 14 more games to break the bowling record because he needs 26 more strikes and averages 2 strikes per game. Correct option is Option B: After 14 more games

Step-by-step explanation:

The question involves finding how many more games Stewart needs to play to break the bowling league record of having at least 6 strikes. Stewart already has 34 strikes and averages 2 strikes per game. To solve for the number of additional games he needs:

1. First, determine how many more strikes are needed by subtracting the current strikes from the record: 60 - 34 = 26 strikes needed.
2. Since Stewart averages 2 strikes per game, we can set up an inequality to find the number of games (g) he needs: 2g ≥ 26.
3. Divide both sides of the inequality by 2 to find g: g ≥ 13.
4. Since Stewart must play whole games, we round up to the nearest whole number, concluding Stewart needs to play at least 14 more games to ensure he breaks the record.