Question

To pass a course with a C grade, a student must have an average of 70 or greater. A student's grades on three tests are 73, 76, and 62. Find what score the student must get on the next test to get a C average or better.

A) 74
B) 75
C) 76
D) 77

Answer 1

The student must score at least 75 on the fourth test to achieve a C average for the course. After calculating the total points needed (280) and subtracting the points already earned (211), 69 points remain, which dictates a minimum score of 75 on the next test.

Step-by-step explanation:

To calculate the score needed on the next test to achieve a C average, we need to find the average of the current scores and determine what score would bring the average up to 70. The student's current test scores are 73, 76, and 62. To calculate the average after four tests, we multiply the desired average (70) by the number of tests (4), giving us a total of 280 points needed across all tests.

Adding the three test scores together (73 + 76 + 62), we get a total of 211 points so far. To find out the score needed on the fourth test, we subtract the total points so far (211) from the total needed (280), which gives us 69 points needed on the fourth test. Since the student needs at least 69 to pass, the closest answer choice that is greater than or equal to 69 is option B) 75.