Question

Mark has scored 8, 19, 11, 21, and 4 points in the past 5 basketball games. Write and solve the inequality that can be used to solve for the number of points he will need to score in the next game in order for Mark to average at least 18 points per game. 1. Define your variable. 2. Write the inequality representing the problem. 3. Solve the problem. 4. Do you think Mark will be able to accomplish his goal? Why or why not?

Answer 1

Explanation:

1. Let 6th score = x

2. (8 + 19 + 11 + 21 + 4 + x) ÷ 6 ≥ 18

3. (8 + 19 + 11 + 21 + 4 + x) ÷ 6 ≥ 18

8 + 19 + 11 + 21 + 4 + x ≥ 18 × 6

63 + x ≥ 108

x ≥ 45

4. I don't think Mark will be able to accomplish his goal because 45 is too far from the average of the 5 scores