SOLUTION: A students grades in a course is the average of 4 test grades and a final exam that is worth 3 times as much as each test. Suppose a student has test grades of 91,89,78,92. Write a

Question 830003: A students grades in a course is the average of 4 test grades and a final exam that is worth 3 times as much as each test. Suppose a student has test grades of 91,89,78,92. Write an equation where x is the students grade and y is the students average. I am having a hard time coming up with the answer for why? I don't understand how they got the answer for it. I come close but not exact.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
y = (1*91 + 1*89 + 1*78 + 1*92 + 3x)/7
y = (350 + 3x)/7
y = (3/7)x + 350/7
---
answer:
y = (3/7)x + 50
where:
x = final exam grade (0 to 100)
y = course grade (0 to 100)
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by richwmiller)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by richwmiller)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by josgarithmetic)

A students grade in a course is the average of 4 test grades and a final exam that is... (answered by CubeyThePenguin)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by stanbon)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by Alan3354,rothauserc)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by josmiceli)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by Stitch)

A student's grade in a course is the average of 4 test grades and a final exam that is... (answered by JoelSchwartz)