Question

To pass a course with an Upper A grade, a student must have an average of 90 or greater. A student's grades on three tests are 91, 94, and 89. Find what score the student must get on the next test to get an Upper A average.

a. 92
b. 93
c. 94
d. 95

Answer 1

The student needs to score at least 86 on their fourth test to achieve a 90 or greater average, with options a. 92, b. 93, c. 94, and d. 95 all being high enough scores to reach an Upper A grade.

Step-by-step explanation:

The student wishes to determine the minimum score they need on their fourth test to achieve an Upper A average, which requires an average of 90 or greater. Their three current grades are 91, 94, and 89. To calculate the score needed on the fourth test, we first determine the total points the student has earned so far, which is 91 + 94 + 89 = 274. Knowing that an average of 90 over four tests requires a total of 90 x 4 = 360 points, we can subtract the current total from this to see what score is needed on the final test: 360 - 274 = 86.

However, the student is aiming for an Upper A, which means we round up to the nearest whole number that would maintain an average of 90 or greater. So, the student would need to score at least 86 on their next test, meaning option a. 92, b. 93, c. 94, and d. 95 are all sufficiently high scores to obtain an Upper A average.