Final answer:
Claire needs to score 73 on her next test to achieve an average of 76, based on her previous scores of 79, 75, and 77.
Step-by-step explanation:
To find the score Claire needs on the next test to achieve an average of 76, we start by calculating the total points she needs for all four tests. Since the desired average is 76 and there are four tests, she needs a total of 4 times 76 points. That is 4 x 76, which equals 304 points.
Next, we sum Claire's current scores: 79 + 75 + 77 = 231.
To find the required score for the fourth test, we subtract the total of her current scores from the total points needed: 304 - 231 = 73
Therefore, Claire needs to score 73 on her next test to have an average of 76