SOLUTION: You are not doing as well as you had hoped in one of your classes. So, you want to figure out the minimum grade you need on the final exam to receive the semester grade that you wa

Algebra ->  Inequalities -> SOLUTION: You are not doing as well as you had hoped in one of your classes. So, you want to figure out the minimum grade you need on the final exam to receive the semester grade that you wa      Log On


   



Question 927913: You are not doing as well as you had hoped in one of your classes. So, you want to figure out the minimum grade you need on the final exam to receive the semester grade that you want. Is it still possible to get an A? How would you explain your calculations to a classmate?
A. The grading scale states that you must have a 90% to earn an A for the semester. There are five tests each semester (four exams and one final). Given the percentage on the first four exams, determine if it’s possible for you to get an A with your scare on the final. Remember, the maximum possible score is 100%.
1. Exam 1 = 85, Exam 2 = 80, Exam 3 = 94, and Exam 4 = 93
Can you earn an A? If so, what score would you need on the final? If not, what is the highest percent to get for your semester grade? Explain.








2. Exam 1 = 82, Exam 2 = 84, Exam 3 = 83, and Exam 4 = 96
Can you earn an A? If so, what score would you need on the final? If not, what is the highest percent to get for your semester grade? Explain.

Answer by ptfile(81) About Me  (Show Source):
You can put this solution on YOUR website!
1st Question:
Can you earn an A?
Yes. You need to have 98% in your last test in order to get an 90% final grade in your semester.
To get a final grade of 90% in your semester:
(85+80+94+93+x)/5 = 90
Multiply each side by 5
85+80+94+93+x=450
352+x=450
x= 98
2nd Question:
Can you earn an A?
No. You need at least 105% in order to have 90% final grade in your semester. Since the maximum possible score is 100%, the highest grade you can get is 89%.
To get a final grade of 90% grade in your semester:
(82+84+83+96+x)/5 = 90
Multiply each side by 5
82+84+83+96+x=450
345+x=450
x=105
Highest attainable grade:
(82+84+83+96+100)/5 = 89