Chapter 1.2, Problem 48E

To determine

Tofind:the final grade by totaling the products of the weight, score, choose the value for

remaining weight and calculate the score for student earn $90\%$ in class.

Answer to Problem 48E

Student would needon the final exam, since the person choose to weight the mid-term and home work each as $20\%$ of the grade.

Explanation of Solution

Given:

  

Concept used:

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. the equations in the system can be linear or non-linear. This tutorial reviews systems of linear equations. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

The product will be the number of score and weight.

Calculation:the sample can be written in tabular form as:

Component	Student scores	Weight	Score $\times$Weight
Class participation	$92\%$	$0.20$	$92\times 0.20=18.4$
Homework	$95\%$	$0.20$	$95\times 0.20=19$
Midterm exam	$88\%$	$0.20$	$88\times 0.20=17.6$
Final exam	$87.5\%$	$0.40$	$87.5\times 0.40=35$
Total		$1$	$90$

Yes, it is possible for the student to have $90\%$ .

The score the student needs on final exam to get an A will depend on the other values to be filled into the table. There are multiple different answers to this problem, since, it can choose different weights for the homework and mid term exam.

Hence, student would need $87.5\%$ on the final exam, since the person choose to weight the mid-term and home work each as $20\%$ of the grade.