  # In one​ class, homework is worth 25​% of the final​ grade, each of 3 projects is worth 20​%, and a final exam is worth 15​%.​(a)If a student has an 83 homework average and a 95 on the first​ project, what is the​ student's grade at this​ point?​(b)If a student gets a 78 on the second project and a 76 on the third​ project, what is the lowest grade the student can get on the final exam to get an 80 overall in the​ course?Sum(weight k *xk/ Sum(weight k)

Question

In one​ class, homework is worth 25​% of the final​ grade, each of 3 projects is worth 20​%, and a final exam is worth 15​%.
​(a)
If a student has an 83 homework average and a 95 on the first​ project, what is the​ student's grade at this​ point?
​(b)
If a student gets a 78 on the second project and a 76 on the third​ project, what is the lowest grade the student can get on the final exam to get an 80 overall in the​ course?
Sum(weight k *xk/ Sum(weight k)

check_circleExpert Solution
Step 1

Given:

The worth of homework and the final exam is 25% and 15%, respectively.

The worth of each 3 project is 20%.

Step 2

(a)

Calculation:

It is given that the student’s homework average and the first project is 83 points and 95 points, respectively.

Thus, the grade is calculated as

Step 3

(b)

To obtain the lowest grade in final exam, so that his overall grade is 80.

Calculation:

It is given that the student’s point on second and thi...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

### Algebra 