Question

Jeannette is playing a trivia game. She has already scored 16 points but needs to score more than 35 points to win. With each correct answer, Jeanette scores 3.2 points. Which of the following inequalities could be used to solve for x, the number of correct answers she needs to win the trivia game?

A) 3.2x > 16
B) 3.2x > 35
C) 3.2x + 16 > 35
D) 3.2x - 16 > 35

Answer 1

The correct inequality to determine the number of correct answers Jeannette needs to win the game is 3.2x + 16 > 35, which corresponds to option C) 3.2x + 16 > 35.

Step-by-step explanation:

The question asks which inequality would help solve for x, the number of correct answers Jeannette needs to win the trivia game, given that she needs to score more than 35 points and she currently has 16 points. Each correct answer is worth 3.2 points.

To find out the number of correct answers Jeannette needs to score more than 35 points, we should add her current score to the points she will earn from future correct answers. The correct inequality is 3.2x + 16 > 35, where x represents the number of additional correct answers she needs.

So, the correct option is: C) 3.2x + 16 > 35.