In five games, you score 16, 12, 15, 13, and 17 points. How many points must you score in the sixth game to have an average of at least 15 points?
You have 73 total points.
You need a total of 90 for an average of 15.
To find out how many points you must score in the sixth game to have an average of at least 15 points, we need to calculate the total number of points you currently have and then consider the total number of games played.
Step 1: Calculate the total number of points you currently have:
Add up the points from the five games: 16 + 12 + 15 + 13 + 17 = 73
Step 2: Consider the total number of games played:
In this case, you have played a total of six games because you are looking to find the score for the sixth game.
Step 3: Calculate the average score so far:
Divide the total number of points (73) by the total number of games (6): 73 ÷ 6 = 12.17 (rounded to two decimal places)
Step 4: Determine how many points you need to maintain an average of at least 15:
To have an average of at least 15 points, you will need a total number of points equal to or greater than (average × number of games).
15 (average) × 6 (number of games) = 90
Step 5: Calculate how many points you need in the sixth game:
To find out how many points you need in the sixth game, subtract the total points you currently have from the required total: 90 - 73 = 17
Therefore, you must score at least 17 points in the sixth game to have an average of at least 15 points.