9. The enrolment at a school increased from I 400 learners to 1600 learners over 0 period of 5 years. What is the percentage increase in enrolment?

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UpStudy AI · Accepted Answer

To find the percentage increase in enrolment, we can follow these steps:

1. **Identify the initial and final values:**
   - Initial enrolment (I) = 1400 learners
   - Final enrolment (F) = 1600 learners

2. **Calculate the increase in enrolment:**
   $$
   \text{Increase} = F - I = 1600 - 1400
   $$

3. **Calculate the percentage increase:**
   $$
   \text{Percentage Increase} = \left( \frac{\text{Increase}}{I} \right) \times 100
   $$

Now, let's perform the calculations step by step.

### Step 1: Calculate the increase
$$
\text{Increase} = 1600 - 1400 = 200
$$

### Step 2: Calculate the percentage increase
$$
\text{Percentage Increase} = \left( \frac{200}{1400} \right) \times 100
$$

Now, let's calculate the percentage increase.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{200}{1400}\right)\times 100$$
- step1: Reduce the fraction:
  $$\frac{1}{7}\times 100$$
- step2: Multiply:
  $$\frac{100}{7}$$
The percentage increase in enrolment is calculated as follows:

$$
\text{Percentage Increase} = \frac{200}{1400} \times 100 = \frac{100}{7} \approx 14.29\%
$$

Thus, the percentage increase in enrolment over the 5 years is approximately **14.29%**.
The enrolment increased by approximately 14.29%.

9. The enrolment at a school increased from I 400 learners to 1600 learners over 0 period of 5 years. What is the percentage increase in enrolment?

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