Question

1. jorge is playing in a 3 - game basketball tournament. he scored 24 points in the first game, and 9 points less than that in the second game. if he averages at least 20 points for all three games, he will receive the mvp trophy. write and solve an inequality to determine the number of points jorge need to score in the third game to receive the trophy? inequality: solution:

Explanation:

Step1: Define the variable

Let $x$ be the number of points Jorge scores in the third - game.

Step2: Set up the inequality for the average

The average of the points in the three games is $\frac{24 + 9+x}{3}$. He needs to average at least 20 points for all three games. So the inequality is $\frac{24 + 9+x}{3}\geq20$.

Step3: Simplify the left - hand side of the inequality

First, simplify the numerator of the left - hand side: $24+9 = 33$. The inequality becomes $\frac{33 + x}{3}\geq20$.

Step4: Multiply both sides of the inequality by 3

Multiply both sides of $\frac{33 + x}{3}\geq20$ by 3 to get $33 + x\geq60$.

Step5: Solve for x

Subtract 33 from both sides of the inequality $33 + x\geq60$. We have $x\geq60 - 33$, so $x\geq27$.

Answer:

The inequality is $\frac{24 + 9+x}{3}\geq20$ and the solution is $x\geq27$.