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Let's go through each part of this problem step-by-step.

### Problem Recap
We have:
- Principal $ P = 5400 $
- Interest rate $ r = 6\% $ (or 0.06)
- Time $ t = 9 $ years

### Solution Steps:

#### Part (a): Simple Interest Calculation
The formula for simple interest $ I $ is:
\[
I = P \times r \times t
\]
Plugging in the values:
\[
I = 5400 \times 0.06 \times 9 = 2916
\]
You correctly calculated the simple interest as **$2916**.

#### Part (b): Total Amount (Future Value)
The total amount to be paid (also called the future value $ A $) is calculated by adding the principal and the interest:
\[
A = P + I
\]
So,
\[
A = 5400 + 2916 = 8316
\]
The correct answer for the total amount is **$8316**. Your answer of **$9123.18** seems to be incorrect due to a calculation error or a misunderstanding in the formula application.

#### Part (c): Monthly Payment
To find the monthly payment, we divide the total amount by the total number of months:
\[
\text{Monthly Payment} = \frac{A}{\text{Total Months}}
\]
Since the loan term is 9 years, there are $ 9 \times 12 = 108 $ months. Thus:
\[
\text{Monthly Payment} = \frac{8316}{108} \approx 77.00
\]
The correct answer for the monthly payment is approximately **$77.00**. Your answer of **$270** might have come from an incorrect interpretation of the monthly payment formula.

### Summary of Correct Answers
- **(a)** Simple Interest: $2916
- **(b)** Total Amount: $8316
- **(c)** Monthly Payment: $77.00

Would you like further details on any of these steps?

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#### Related Questions
1. How would the monthly payment change if the interest rate was compounded monthly instead of calculated as simple interest?
2. How would the total amount change if the loan duration was extended to 12 years?
3. If the interest rate was reduced to 4%, what would be the new monthly payment for the 9-year period?
4. How does the simple interest formula differ from the compound interest formula?
5. What would the monthly payment be for a 5-year loan at the same rate?

#### Tip:
Always double-check if a problem is asking for simple or compound interest, as this changes the total calculations significantly.

An $5,400 loan at 6% interest for 9 years.

(a) What is the simple interest of the loan?
(b) What is the total amount you will pay (also called future value)?
(c) What would be the monthly payment?

This solution demonstrates how to calculate the simple interest, total payment (future value), and monthly payment for a $5,400 loan at 6% interest over 9 years. Learn the formulas for simple interest, future value, and monthly payments with a step-by-step guide suitable for high school students.

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