Question
in a game, players earn points for completing challenges. the rules stae thta players with a score of 15 points or more are eligible for a bonus round. if a player already has 5 points, write and solve an inequailty to find out how many more points they need to reach the eligibility for the bonus round. Use the variable "p" to represent points.
Answers
GPT-4o mini
To find out how many more points a player needs to earn to reach a score of 15 points or more, we can set up an inequality.
Let \( p \) represent the additional points the player needs to earn. Since the player already has 5 points, their total score after earning additional points would be \( 5 + p \). We want this total to be at least 15, which gives us the inequality:
\[
5 + p \geq 15
\]
Now, we can solve the inequality for \( p \):
1. Subtract 5 from both sides:
\[
p \geq 15 - 5
\]
2. Simplify:
\[
p \geq 10
\]
This means that the player needs to earn at least **10 more points** to be eligible for the bonus round.
Let \( p \) represent the additional points the player needs to earn. Since the player already has 5 points, their total score after earning additional points would be \( 5 + p \). We want this total to be at least 15, which gives us the inequality:
\[
5 + p \geq 15
\]
Now, we can solve the inequality for \( p \):
1. Subtract 5 from both sides:
\[
p \geq 15 - 5
\]
2. Simplify:
\[
p \geq 10
\]
This means that the player needs to earn at least **10 more points** to be eligible for the bonus round.