Final answer:
Pedro needs to score at least 70 on his fifth test to have an average of 75 or greater, as the total points needed for a 75 average is 375, and he has accumulated 323 points from his first four tests.
Step-by-step explanation:
To find out what score Pedro must make on his fifth test to have an average of 75 or greater, we start by calculating the total number of points needed for five tests to have a 75 average. We multiply 75 by 5, which gives us 375 points. Next, we add Pedro's scores from the first four tests: 84 + 85 + 83 + 71 = 323 points. To find the score needed on the fifth test, we subtract the total points he has from the total points needed: 375 - 323 = 52 points. Therefore, Pedro needs to score 52 points on the fifth test to have an overall average of 75. Since the lowest option available that is greater than 52 is 70, Pedro must score at least 70 on his fifth test to have an average of 75 or greater.