Question

A student has scores of 56.5, 57.5, and 61 on his first three tests. He needs an average of at least 60 to earn a grade of D. What is the minimum score that the student needs on the fourth test to ensure a D?

a) 58.5
b) 59
c) 60
d) 61.5

Answer 1

The student needs to score at least 65 on the fourth test to achieve an average of at least 60 and thus earn a grade of D.

Step-by-step explanation:

To determine the minimum score the student needs on the fourth test to achieve an average score of at least 60, we first calculate the total points the student needs for all four tests combined:

60 (average score needed) × 4 (total tests) = 240 total points needed.

Next, we sum up the scores from the first three tests:

56.5 (first test) + 57.5 (second test) + 61 (third test) = 175 total points so far.

We subtract the total points so far from the total points needed to find out the minimum score required on the fourth test:

240 (total points needed) - 175 (total points so far) = 65 points needed on the fourth test.

Therefore, the student needs a minimum of 65 on the fourth test to ensure a grade of D.