Problema Solution
a student's grade in a course is the average of 4 test grades and a final exam that is worth four times as much as each test. suppose a student has test grades of 89,90,79,and 94. write an equation to model this situation where x is the student's grade on the final and y is the student's average for the course.
Then find the score they will need to receive on their final exam if they want to have a grade of 90 for the course.
Answer provided by our tutors
The equation to model the situation is:
y = (89 + 90 + 79 + 94 + 4x)/8
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click here to see the equation being simplified
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y = (1/2)x + 44
Now we need to find x such that the y = 90 that is solve the equation:
(1/2)x + 44 = 90
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click here to see the equation solved for x
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x = 92
The final exam score they need to receive is 92.