Question

To win a game, you need at least 45 points. Each question is worth 3 points. Write and solve an inequality that represents the number of questions you need to answer correctly to win the game.

Answer 1

3x=45
(divide each side by 3)
x=15
You need to answer 15 correctly.

Answer 2

`3x\geq 45`; At-least 15 questions.

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`

`(3x)/(3)\geq (45)/(3)`

`x\geq 15`

Therefore, you need to answer at-least 15 questions correctly to win the game.