To determine the score you need on the final exam to achieve a 72% (C) overall grade, we will set up an equation based on the weighted average formula. Here's the breakdown of the components:

• Tests (50%): You have a test average of 55.
• Homework (30%): You have a homework average of 92.
• Test Reviews (5%): You have a review average of 74.
• Final Exam (15%): Let $x$ be the score you need on the final exam.

The formula for the overall grade is:

$\text{Overall Grade} = (\text{Test Average} \times 0.50) + (\text{Homework Average} \times 0.30) + (\text{Review Average} \times 0.05) + (\text{Final Exam Score} \times 0.15)$

Substitute the known values and set the overall grade equal to 72%:

$72 = (55 \times 0.50) + (92 \times 0.30) + (74 \times 0.05) + (x \times 0.15)$

Now, let's solve for $x$.You need to score 88 on the final exam to achieve a 72% (C) overall in the class.

Would you like further details on the solution process or have any other questions?

Here are 5 related questions you could explore:

1. What score would you need if the final exam were worth 20% instead of 15%?
2. How would your final grade change if your test average increased to 65?
3. What would your final grade be if you scored 90 on the final exam?
4. How would lowering your homework average to 85 affect your required final exam score?
5. How much does each 1-point increase in your test average affect your final grade?

Tip: Always calculate weighted averages carefully by multiplying each component by its percentage weight.