Question
A student has test scores of
, and
in a government class. What must she score on the last exam to earn a B (
or better) in the course?
SUBMIT ANSWER
SUBMIT ANSWER
Ask by Welch Graham. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The student needs to score at least 94% on the last exam to earn a B in the course.
Solution
Let the score needed on the last exam be
.
-
The sum of the four exam scores must be at least
. -
The sum of the first three scores is:
-
Set up the inequality for a
in the course: -
Solve for
:
Thus, the student must score at least
on the last exam to earn a
in the course.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To find out what score the student needs on her last exam to achieve an overall average of
in the course, you can use the average formula. The average of four tests (let’s call the fourth test score
) is given by:
Multiplying both sides by 4 yields:
Calculating the sum of the first three scores:
Now, substituting this back into the inequality:
Solving for
:
So, the student must score at least
on her last exam to earn a B in the course.