The population of the Houston Metro area increased by 56% from 2000 to 2022. If the 2022 population is y times the 2000 population, what is the value of y?

To find the value of \( y \), which represents how many times the 2022 population is compared to the 2000 population, we can use the information that the population increased by 56%.

### Step-by-Step Solution:

1. **Express the increase in population:**

   The population increased by 56%, which means the 2022 population is 100% + 56% = 156% of the 2000 population.

2. **Convert the percentage to a decimal:**

   \( 156\% \) as a decimal is \( \frac{156}{100} = 1.56 \).

3. **Express \( y \):**

   Since \( y \) represents how many times the 2022 population is compared to the 2000 population, and the 2022 population is 156% of the 2000 population, we have:
   \[
   y = 1.56
   \]

So, the value of \( y \) is \( \boxed{1.56} \).

Would you like more details on this, or do you have any questions? Here are 5 related questions that might be of interest:

1. If the 2000 population was 4 million, what was the population in 2022?
2. What would the population increase be if it were 70% instead of 56%?
3. How would you calculate the population change if given a different percentage?
4. If the population had doubled, what would the value of \( y \) be?
5. How would you express the population decrease by 20% in terms of \( y \)?

**Tip:** When dealing with percentage increases or decreases, always convert the percentage to a decimal to simplify calculations.

Learn how to calculate the population increase percentage of the Houston Metro area from 2000 to 2022. Understand how to find the value of y, representing how many times the 2022 population is compared to the 2000 population, given a 56% increase. Suitable for high school students studying percentages and population growth.

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