To get an A on a test, David must score between 90% and 100% , including the end points. If his test has 15 questions, how many questions must he answer correctly to make an A?
To get an A on the test, David must score between 90% and 100%, including the end points. This means his score must be at least 90% of 15 questions and at most 100% of 15 questions.
To calculate the minimum number of questions he must answer correctly, we multiply 90% by 15: 0.9 * 15 = 13.5
Since David cannot answer a fraction of a question, he must answer at least 14 questions correctly in order to achieve the minimum required score of 90%.
To calculate the maximum number of questions he can answer correctly, we multiply 100% by 15: 1 * 15 = 15
Therefore, David must answer between 14 and 15 questions correctly in order to get an A on the test.
To find the number of questions David must answer correctly to get an A, first, we need to find the range of scores that correspond to a grade of A.
The range for an A grade is between 90% and 100%, including the end points.
Since David's test has 15 questions, we can determine the range of scores by multiplying the number of questions by the minimum and maximum percentages needed for an A.
Minimum score for an A: 90% * 15 = 13.5
Maximum score for an A: 100% * 15 = 15
So, David must answer a minimum of 14 questions correctly to make an A.
To determine how many questions David must answer correctly to get an A, we need to find the range of scores that correspond to a grade of A.
Since David must score between 90% and 100%, including the end points, this means he needs to score at least 90% of the total possible points and at most 100% of them.
To find the total possible points, we multiply the number of questions by the maximum score per question, which is 1 since each question can only be answered correctly or incorrectly.
Total possible points = Number of questions x Maximum score per question
= 15 x 1
= 15
To find the minimum number of questions David needs to answer correctly to get a grade of A, we multiply the total possible points by the minimum percentage required for an A, which is 90%.
Minimum number of questions correctly answered = Total possible points x Minimum percentage required
= 15 x 0.90
= 13.5
Since we can't have a fraction of a question, we round up the result.
Therefore, David must answer at least 14 questions correctly to make an A on his test.