A diver earned scores of 6.5, 6.5, 7.5, and 8.5 on his first four competition dives this season. Which inequality represents all possible scores, x, the diver can earn on his fifth dive in order to have a mean that is greater than 7.5 for the season?

Answer 1

To find the mean score for the season, we need to calculate the sum of all five dive scores and divide by 5:

(6.5 + 6.5 + 7.5 + 8.5 + x) / 5 > 7.5

Combine like terms:

(29 + x) / 5 > 7.5

To solve for x, we can multiply both sides by 5:

29 + x > 37.5

Now, subtract 29 from both sides:

x > 8.5

Therefore, the inequality representing all possible scores, x, the diver can earn on his fifth dive in order to have a mean that is greater than 7.5 for the season is:

x > 8.5