Answer:
\(3x\geq 45\); At-least 15 questions.
Step-by-step explanation:
Let x represent the number of questions you need to answer correctly..
We have been given that each question is worth 3 points. The points earned from answering x right questions would be \(3x\).
Since we need at-least 45 points to win the game, so points earned from answering x questions would be greater than or equal to 45. We can represent this information in an equation as:
\(3x\geq 45\)
\(\frac{3x}{3}\geq \frac{45}{3}\)
\(x\geq 15\)
Therefore, you need to answer at-least 15 questions correctly to win the game.
