Question

Class Grade.

Ryan is taking an advanced psychology class in which the midterm and final exams are worth 35% each and homework is worth 30% of the final grade. On a 100-point scale, his midterm exam score was 85.5, his homework average score was 94.1, and his final exam score was 88.5.
A: On a 100 point scale what is Ryan's overall average for the class?B: Ryan was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get a A?

Answer 1

Ryan's overall average for the class is 89.13, and he cannot achieve an A in the class because the maximum number of points he can earn on the final exam is 267.14.

Step-by-step explanation:

To calculate Ryan's overall average for the class, we need to determine the weighted scores for each component. The midterm exam is worth 35% (0.35), the final exam is worth 35% (0.35), and the homework is worth 30% (0.30). To calculate the weighted scores, multiply each component score by its corresponding weight and sum them up.

For the midterm exam: 85.5 * 0.35 = 29.93

For the homework: 94.1 * 0.30 = 28.23

For the final exam: 88.5 * 0.35 = 30.97

Adding the weighted scores together: 29.93 + 28.23 + 30.97 = 89.13

Therefore, Ryan's overall average for the class is 89.13.

To determine if Ryan could have scored high enough on the final exam to get an A (93.5 or higher), we can calculate the maximum number of points he can earn on the final exam. Since the final exam is worth 35%, we can set up the equation: 93.5 = 0.35 * x, where x represents the final exam score. Solving for x: x = 93.5 / 0.35 ≈ 267.14. Therefore, Ryan cannot achieve an A in the class because the maximum number of points he can earn on the final exam is 267.14, which is higher than the possible 100 points.