SOLUTION: If student Joe has a course average score above 89, he will earn an A in the course. Suppose his scores are 79, 96, and 84 and his teacher said the final exam is worth twice the we

Question 157379This question is from textbook
: If student Joe has a course average score above 89, he will earn an A in the course. Suppose his scores are 79, 96, and 84 and his teacher said the final exam is worth twice the weight of the other exams. Write an inequality for the range of scores on the final exam which will result in Joe earning an A? This question is from textbook

Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
my interpretation of twice the weight of the other exams is that the final exam would be the same as having taken 2 exams.
that means joe will have taken 5 exams rather than 4.
5 exams times 89 means the total score would have to be greater than 445.
the 3 exams total 79 + 96 + 84 = 259.
the equation then becomes 259 + 2x > 445.
this becomes 2x > 186.
this becomes x > 93.
joe has to get a score > 93 on the final exam to get an overall score > 89 to get an A in the course.
averaging the 5 test scores of 79, 96, 84, 93, 93, we get a total of 445 / 5 = 89.
this confirms the mathematics is correct based on the assumption.
he has to get > 93 on the final exam.
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