Question

last season, the panthers averaged 21 points per game. so far this season, the panthers scored 14 points during their first game and 30 points during their second game. how many points do they need to score during their upcoming third game so that their average for the first three games this season is better than last years season average? more than 22 points more than 18 points more than 21 points more than 19 points i dont know this yet.

Explanation:

Step1: Set up the average - formula inequality

Let $x$ be the number of points in the third game. The average of the three - game scores this season is $\frac{14 + 30+x}{3}$. We want this average to be greater than 21 (last year's average), so the inequality is $\frac{14 + 30+x}{3}>21$.

Step2: Simplify the left - hand side of the inequality

First, simplify the numerator of the left - hand side: $14 + 30=44$. So the inequality becomes $\frac{44 + x}{3}>21$.

Step3: Solve the inequality for $x$

Multiply both sides of the inequality by 3: $44 + x>21\times3$. Since $21\times3 = 63$, we have $44+x>63$. Then subtract 44 from both sides: $x>63 - 44$. So $x>19$.

Answer:

more than 19 points