The population of a town increased from 100000 to 150000 in a decade. What is the average % increase per year.

Options

A. 2
B. 3
C. 4
D. 5

Answer

To find the average percentage increase in population per year, we can follow these steps:

### Step 1: Determine the initial and final population
- Initial population = 100,000
- Final population = 150,000

### Step 2: Calculate the change in population
- Change in population = Final population - Initial population
- Change in population = 150,000 - 100,000 = 50,000

### Step 3: Determine the time period in years
- The time period is given as a decade, which is equal to 10 years.

### Step 4: Calculate the average annual change in population
- Average annual change = Change in population / Number of years
- Average annual change = 50,000 / 10 = 5,000

### Step 5: Calculate the average percentage increase per year
- Average percentage increase = (Average annual change / Initial population) × 100
- Average percentage increase = (5,000 / 100,000) × 100

### Step 6: Simplify the calculation
- Average percentage increase = 0.05 × 100 = 5%

### Conclusion
The average percentage increase in population per year is **5%**.

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