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Let's solve the three word problems related to simple interest from the image.

### Simple Interest Formula
The formula to use is:

\[
I = P \times r \times t
\]

Where:
- \( I \) = Interest
- \( P \) = Principal amount
- \( r \) = Annual interest rate (expressed as a decimal)
- \( t \) = Time (in years)

---

### 1. **How much interest is earned on ₱6,200 at 4% for one year?**

Here:
- \( P = 6,200 \)
- \( r = 4\% = 0.04 \)
- \( t = 1 \) year

Using the formula:

\[
I = 6,200 \times 0.04 \times 1 = 248
\]

The interest earned is **₱248**.

---

### 2. **What was the interest rate if your balance on an investment of ₱27,750 at the end of six years is ₱41,070?**

First, we calculate the total interest earned:

\[
\text{Interest} = 41,070 - 27,750 = 13,320
\]

Now, using the formula \( I = P \times r \times t \), and solving for \( r \):

\[
13,320 = 27,750 \times r \times 6
\]

\[
r = \frac{13,320}{27,750 \times 6} = 0.08
\]

Thus, the interest rate is **8%**.

---

### 3. **If you borrow ₱75,000 for two and a half years at an interest rate of 9%, what is the maturity value of the loan?**

The maturity value is the sum of the principal and the interest. First, we calculate the interest:

Here:
- \( P = 75,000 \)
- \( r = 9\% = 0.09 \)
- \( t = 2.5 \) years

Using the formula:

\[
I = 75,000 \times 0.09 \times 2.5 = 16,875
\]

Now, the maturity value is:

\[
\text{Maturity Value} = 75,000 + 16,875 = 91,875
\]

The maturity value of the loan is **₱91,875**.

---

Would you like any further details or explanations on these solutions?

Here are five related questions you might want to explore:
1. How do you calculate simple interest for more than one year?
2. What is the difference between simple and compound interest?
3. How does the interest rate affect the maturity value of a loan?
4. How can you calculate the principal if you know the interest earned, rate, and time?
5. How does changing the time period affect the total interest earned?

**Tip:** Always double-check your calculations by plugging values back into the original formula to avoid mistakes.

How much interest is earned on ₱6,200 at 4% for one year? What was the interest rate if your balance on an investment of ₱27,750 at the end of six years is ₱41,070? If you borrow ₱75,000 for two and a half years at an interest rate of 9%, what is the maturity value of the loan?

Learn how to calculate simple interest on ₱6,200 at 4% for one year, find the interest rate for an investment of ₱27,750 after six years, and determine the maturity value of a ₱75,000 loan at 9% over two and a half years.

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