On a 15-question online quiz, you correctly answer five 1-point questions and nine 2-point questions. You earn 92% of the possible points on the quiz.
a. How many possible points is the quiz worth?
b. How many questions did you miss?
c. How many points was each missed question worth?
To solve this problem, we can use the given information to calculate the possible points and the number of missed questions.
a. To find the number of possible points on the quiz, we can add up the product of the total number of 1-point questions and the worth of each question, and the product of the total number of 2-point questions and their worth. Let's calculate:
Total points for 1-point questions = 5 × 1 = 5 points
Total points for 2-point questions = 9 × 2 = 18 points
Total possible points on the quiz = Total points for 1-point questions + Total points for 2-point questions = 5 + 18 = 23 points
Therefore, the quiz is worth 23 points.
b. To find the number of questions missed, we need to subtract the number of correct answers from the total number of questions. In this case, the total number of questions can be calculated by adding the number of 1-point questions and the number of 2-point questions. Let's calculate:
Total number of questions = Number of 1-point questions + Number of 2-point questions
Total number of questions = 5 + 9 = 14 questions
Number of questions missed = Total number of questions - Number of correct answers
Number of questions missed = 14 - (5 + 9) = 14 - 14 = 0 questions
Therefore, you did not miss any questions.
c. Since you did not miss any questions, the number of points each missed question is worth is 0 points.
(a) If there are x points in total, then
5*1 + 9*2 = 0.92x
(b) you answered 9+5 = 14 correctly, so ...
(c) easy