Question

Trent earns scores of 69, 88 and 73 on three chapter tests for a certain class. His homework grade is 63 and his grade for a class project is 69 . The overall average for the course is computed as follows: the average of the three chapter tests makes up 40% of the course grade; homework accounts for 20% of the grade; the project accounts for 20% ; and the final exam accounts for 20% . What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given.

Answer 1

To pass the course with a 'C' or better, Trent needs to score at least 65 on the final exam.

Step-by-step explanation:

To pass the course with a 'C' or better, Trent needs an overall score of 70 or better. The average of the three chapter tests makes up 40% of the course grade, homework accounts for 20% of the grade, the project accounts for 20%, and the final exam accounts for 20%. To calculate the overall average, we need to find the weighted average of each component.

Let's assume the final exam score as x. The weighted average can be calculated as follows:

0.4 * ((69 + 88 + 73) / 3) + 0.2 * 63 + 0.2 * 69 + 0.2 * x = 70

Simplifying the equation, we get:

0.4 * 76.66 + 0.2 * 63 + 0.2 * 69 + 0.2 * x = 70

30.664 + 12.6 + 13.8 + 0.2x = 70

57.064 + 0.2x = 70

0.2x = 12.936

x = 12.936 / 0.2

x = 64.68

To pass the course with a 'C' or better, Trent needs to score at least 65 on the final exam.

Answer 2

64 or more

Step-by-step explanation:

First, find the average of three tests scores:

`(69+88+73)/(3)=(230)/(3)\approx 77`

Now

77 points - 40%

63 points - 20%

69 points - 20%

x points - 20%

Overall score must be 70 or better, so

`0.4\cdot 77+0.2\cdot 63+0.2\cdot 69+0.2\cdot x\ge 70\\ \\30.8+12.6+13.8+0.2x\ge 70\\ \\57.2+0.2x\ge 70\\ \\0.2x\ge 70-57.2\\ \\0.2x\ge 12.8\\ \\2x\ge 128\\ \\x\ge 64`