Question

To get an a in a course, you need an average of 90% or better on four tests that are worth 100 points each. your scores on the first three tests were 87, 92, 84. what must you score on the fourth test to get an a for the course?

Answer 1

The student must score at least 97 points on the fourth test to achieve an A in the course, calculated by determining the total points required and subtracting the accumulated points from the first three tests.

Step-by-step explanation:

To calculate the score needed on the fourth test to achieve an A in the course, we first need to determine the total points required to average a 90% across all four tests. Since each test is worth 100 points, and an A requires a 90% average, the student needs 90% of 400 points, which amounts to 360 points in total.

Next, we add up the scores from the first three tests: 87 + 92 + 84 = 263 points. To find out what the student needs on the fourth test, we subtract the current accumulated points from the required total points: 360 - 263 = 97 points.

Therefore, the student must score at least 97 points on the fourth test to achieve an A in the course.

Answer 2

set the score of the fourth test as x

(87+92+84+x)=4*90

x=97