QuestionScott has scored 25,23 , and 30 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? (7) points
Studdy Solution
STEP 1
1. Scott has played three games with scores of 25, 23, and 30 points.
2. He will play a fourth game and wants his average score to be 25 points per game.
STEP 2
1. Determine the total points needed for an average of 25 points over four games.
2. Calculate the total points Scott has scored so far.
3. Determine the points needed in the next game.
STEP 3
Calculate the total points needed for an average of 25 points over four games.
The formula for the average is:
Rearranging for Total Points gives:
Substitute the given values:
STEP 4
Calculate the total points Scott has scored so far.
STEP 5
Determine the points needed in the next game.
Subtract the points scored so far from the total points needed:
Scott needs to score:
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