Create an Equation for the Problem

Question

A student in a Pre-Calculus class has test scores of 78, 77, 79, and 62. The final exam is worth 3 test grades.Write a linear equation that models this problem, where  is the grade on the final exam and  is the student's grade in the course.

What grade is needed on the final to earn a B (average score of 80%)?

Answer 1

y = [3x + (78 + 77 + 79 + 62)] / 7

You can simplify this to the form

y = mx + b.

To answer the second part of the question, set y=80 and solve for x. You should be able to finish from here.