Question

Hunter has scored 232 points during basketball games his senior year. He is only halfway through the season and needs to score 490 points to make it into the hall of fame.

If his average is 24 points per game, complete the inequality below to represent the minimum remaining number of full games he must play to make it to the hall of fame.
A) 14g ≥ 258
B) 24g ≤ 258
C) 24g ≥ 258
D) 14g ≤ 258

Answer 1

The correct inequality to represent the minimum remaining number of full games Hunter must play to reach the hall of fame by scoring at least 490 points in total, given he has already scored 232 points, is C) 24g ≥ 258.

Step-by-step explanation:

Hunter needs to score a total of 490 points to make it into the hall of fame. He has already scored 232 points, so the remaining points he needs to score are:

490 - 232 = 258 points

Since Hunter averages 24 points per game, we can represent the remaining number of games he must play with g. To find the minimum number of full games, he must score at least 258 points in total, so the inequality we are looking for is:

24g ≥ 258

Given the options provided:

• A) 14g ≥ 258
• B) 24g ≤ 258
• C) 24g ≥ 258
• D) 14g ≤ 258

The correct inequality representing the minimum remaining number of full games Hunter must play to make it to the hall of fame is C) 24g ≥ 258.