To enter a competition, students must score a total of at least 440 points on five qualifying tests. Each test is worth 100 points. On the first four tests, your scores were 95, 86, 78, and 85. What are three possible scores you can earn on the last test to enter the competition?
Choose the correct answer below.
A.
Three possible scores 99, 100, and 101.
B.
Three possible scores are 87, 88, and 89.
C.
Three possible scores are 88, 89, and 90.
D.
Three possible scores are 94, 95, and 96.
E.
Three possible scores are 95, 96, and 97.
F.
Three possible scores are 96, 97, and 98.
In order to enter the competition, the student must score a total of at least 440 points on all five tests.
The scores on the first four tests are 95, 86, 78, and 85, which add up to 95 + 86 + 78 + 85 = 344.
To find the minimum score needed on the last test, subtract the sum of the scores on the first four tests from the minimum required total score: 440 - 344 = 96.
Therefore, three possible scores on the last test to enter the competition are 96, 97, and 98.
The correct answer is F. Three possible scores are 96, 97, and 98.
To find three possible scores you can earn on the last test, you need to determine the minimum score needed on the last test to reach a total of at least 440 points.
The sum of your first four test scores is 95 + 86 + 78 + 85 = 344.
To find the minimum score needed on the last test, subtract the sum of the first four test scores from 440:
440 - 344 = 96
So, the minimum score needed on the last test is 96 points.
Now, to find three possible scores, you can consider a range of scores that are greater than or equal to the minimum required score of 96. Let's examine the answer choices:
A. Three possible scores 99, 100, and 101.
These scores are more than the minimum required score of 96, so they are possible.
B. Three possible scores are 87, 88, and 89.
These scores are less than the minimum required score of 96, so they are not possible.
C. Three possible scores are 88, 89, and 90.
These scores are less than the minimum required score of 96, so they are not possible.
D. Three possible scores are 94, 95, and 96.
These scores are equal to the minimum required score of 96, so they are possible.
E. Three possible scores are 95, 96, and 97.
These scores are equal to the minimum required score of 96, so they are possible.
F. Three possible scores are 96, 97, and 98.
These scores are equal to or greater than the minimum required score of 96, so they are possible.
Based on the above analysis, the three possible scores you can earn on the last test to enter the competition are:
A. Three possible scores 99, 100, and 101.
D. Three possible scores are 94, 95, and 96.
E. Three possible scores are 95, 96, and 97.
F. Three possible scores are 96, 97, and 98.
Therefore, the correct answer is A. Three possible scores 99, 100, and 101.
To enter the competition, the total score on the five qualifying tests must be at least 440 points.
The first four test scores were 95, 86, 78, and 85.
To find the minimum score needed on the last test, subtract the sum of the first four test scores from the minimum total score required:
Minimum score needed on the last test = 440 - (95 + 86 + 78 + 85) = 96
Therefore, the minimum score needed on the last test is 96.
From the given options, the three possible scores that can be earned on the last test to enter the competition are:
D. Three possible scores are 94, 95, and 96.