A certain city has a population of 200,000. If the population decreases by 10% e

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Question: A certain city has a population of 200,000. If the population decreases by 10% every year, what will be the population after 1 year?

Options:

Correct Answer: 180,000

Solution:

Population after 1 year = 200,000 * (1 - 0.10) = 200,000 * 0.90 = 180,000.

A certain city has a population of 200,000. If the population decreases by 10% every year, what will be the population after 1 year?

A certain city has a population of 200,000. If the population decreases by 10% every year, what will be the population after 1 year?

Step 1: Identify the initial population of the city, which is 200,000.
Step 2: Determine the percentage decrease in population, which is 10%.
Step 3: Convert the percentage decrease into a decimal by dividing by 100. So, 10% becomes 0.10.
Step 4: Calculate the remaining population percentage after the decrease. This is done by subtracting the decimal from 1: 1 - 0.10 = 0.90.
Step 5: Multiply the initial population by the remaining percentage: 200,000 * 0.90.
Step 6: Perform the multiplication: 200,000 * 0.90 = 180,000.
Step 7: The population after 1 year will be 180,000.

Percentage Decrease – Understanding how to calculate a decrease in population using percentage.
Multiplicative Change – Applying the concept of multiplicative factors to determine new values after a percentage change.