A village has a population of 10,000. If the population doubles every 5 years, w

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Question: A village has a population of 10,000. If the population doubles every 5 years, what will be the population in 15 years?

Options:

Correct Answer: 40000

Solution:

In 15 years, the population will double 3 times (15/5 = 3). So, 10000 * 2^3 = 10000 * 8 = 80000.

A village has a population of 10,000. If the population doubles every 5 years, what will be the population in 15 years?

A village has a population of 10,000. If the population doubles every 5 years, what will be the population in 15 years?

Step 1: Identify the initial population of the village, which is 10,000.
Step 2: Determine how often the population doubles. In this case, it doubles every 5 years.
Step 3: Calculate how many 5-year periods are in 15 years. This is done by dividing 15 by 5, which equals 3.
Step 4: Since the population doubles 3 times in 15 years, we need to calculate 2 raised to the power of 3 (2^3). This equals 8.
Step 5: Multiply the initial population (10,000) by the result from Step 4 (8). So, 10,000 * 8 = 80,000.
Step 6: Conclude that the population of the village in 15 years will be 80,000.

Exponential Growth – Understanding how populations grow exponentially over time, specifically how to calculate future populations based on a doubling time.
Time Intervals – Calculating the number of doubling periods within a given time frame.
Basic Arithmetic – Performing multiplication and exponentiation to find the final population.