Suppose that in this class you don't have a final exam, but you will have four midterm exams.

Suppose you have a Canvas grade of 79.9% before the fourth exam. If every assignment is already graded in the gradebook (including zeros) and the fourth exam counts as 15% of the course grade,

What is the highest course grade (%) you can earn? Round to the nearest hundredth of a percent.

%  

On the next three answers, round the calculated score up to the nearest whole percent.

What is the minimum score would you would need on the fourth exam to earn a 73% (a grade of C) for the course? 
%

What is the minimum score would you would need on the fourth exam to earn a 83% (a grade of B) for the course? 
%

What is the minimum score would you would need on the fourth exam to earn a 93% (a grade of A) for the course? 
%

Is it mathematically possible to get an A given that you currently have a 79.9%?

To solve this, let's define the problem variables clearly:

- Let the current Canvas grade be \( 79.9\% \), which accounts for all assignments except the fourth exam.
- The fourth exam is worth 15% of the total course grade.

### Part 1: Highest course grade you can earn

The highest score you can achieve on the fourth exam is 100%. So, let's calculate the highest possible course grade:

- Let the current Canvas grade (before the fourth exam) represent 85% of the total course grade.
- The fourth exam will make up the remaining 15%.

Thus, the highest possible course grade \( G \) can be calculated using the formula:

\[
G = 0.85 \times 79.9 + 0.15 \times 100
\]

Let's calculate this.

\[
G = 0.85 \times 79.9 + 0.15 \times 100 = 67.915 + 15 = 82.915\%
\]

So, the highest course grade you can earn is **82.92%**.

---

### Part 2: Minimum score to earn a 73% course grade

To earn at least 73% in the course, the overall course grade should meet the threshold \( G = 73\% \).

We can set up the equation as:

\[
0.85 \times 79.9 + 0.15 \times x = 73
\]

Where \( x \) is the score needed on the fourth exam. Let's solve for \( x \):

\[
67.915 + 0.15x = 73
\]

\[
0.15x = 73 - 67.915 = 5.085
\]

\[
x = \frac{5.085}{0.15} = 33.9
\]

So, you would need to score **34%** on the fourth exam to earn at least a 73% overall.

---

### Part 3: Minimum score to earn an 83% course grade

To earn at least 83%, the course grade must be:

\[
0.85 \times 79.9 + 0.15 \times x = 83
\]

Solving for \( x \):

\[
67.915 + 0.15x = 83
\]

\[
0.15x = 83 - 67.915 = 15.085
\]

\[
x = \frac{15.085}{0.15} = 100.57
\]

Since the maximum exam score is 100%, you would need to score **101%**, which is impossible. Therefore, it's **not possible to earn an 83% or higher.**

---

### Part 4: Minimum score to earn a 93% course grade

To earn at least 93%, the course grade must be:

\[
0.85 \times 79.9 + 0.15 \times x = 93
\]

Solving for \( x \):

\[
67.915 + 0.15x = 93
\]

\[
0.15x = 93 - 67.915 = 25.085
\]

\[
x = \frac{25.085}{0.15} = 167.23
\]

You would need **167.23%** on the fourth exam, which is impossible. Therefore, it's also **not possible to earn a 93% or higher.**

### Conclusion: Is it mathematically possible to get an A?

No, it is not mathematically possible to get an A given your current Canvas grade of 79.9%. You would need to score higher than 100% on the fourth exam, which is not feasible.

---

#### Do you want details on any part of the explanation? Here are some related questions to practice:

1. If you need 85% on the fourth exam to earn a B in the course, what would be your final grade?
2. If the fourth exam counted for 20% instead of 15%, what would the new highest possible course grade be?
3. How would the required score change if you had 82% before the final exam?
4. What grade would you earn if you scored 75% on the fourth exam, given your current Canvas grade of 79.9%?
5. If the course had only three exams, how would the grading calculation change?

**Tip:** Always check how much weight each assignment or exam carries in your final grade to better predict your outcomes!

Suppose that in this class you don't have a final exam, but you will have four midterm exams. Suppose you have a Canvas grade of 79.9% before the fourth exam. If every assignment is already graded in the gradebook (including zeros) and the fourth exam counts as 15% of the course grade, what is the highest course grade (%) you can earn? Round to the nearest hundredth of a percent.

What is the minimum score you would need on the fourth exam to earn a 73% (a grade of C) for the course?
What is the minimum score you would need on the fourth exam to earn an 83% (a grade of B) for the course?
What is the minimum score you would need on the fourth exam to earn a 93% (a grade of A) for the course?
Is it mathematically possible to get an A given that you currently have a 79.9%?

Learn how to calculate the highest possible final grade and the minimum exam scores required to achieve target grades in a course with four midterms. This example uses weighted averages based on a Canvas grade of 79.9% before the fourth exam, which counts for 15% of the total grade.

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