Our team scored 115 points in the last
5 football games. How many points must we
score in the next 5 games so our average
points per game is greater than 25?
Write inequality?
Mean = sum of scores/number of scores
(115 + x)/10 > 25
Solve for x, then divide x by 5.
To solve this problem, we need to find the total number of points required in the next 5 games to have an average greater than 25 points per game.
Let's assume the number of points scored in the next 5 games is represented by "x."
To find the average for the next 5 games, we need to sum up the total points scored and divide it by the number of games played. In this case, the total points scored is 115 (from the previous 5 games) plus x (from the next 5 games). Therefore, the average can be calculated as (115 + x) / 10 (since there will be a total of 10 games - 5 previous + 5 next).
The inequality can be written as:
(115 + x) / 10 > 25
To solve this inequality and find the minimum number of points required, we can multiply both sides of the inequality by 10 to eliminate the fraction:
115 + x > 250
Next, we can subtract 115 from both sides:
x > 250 - 115
Simplifying, we have:
x > 135
Therefore, you must score more than 135 points in the next 5 games to have an average greater than 25 points per game.