Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

11. In 2022, a train carried 8% more passengers than in 2021. In 2023, it carried 8% more passengers than in 2022. Find the percentage increase in the number of train passengers from 2021 to 2023.

Sagot :

GinnyAnswer
To solve this problem, let's follow a step-by-step approach:

1. Step 1: Determine the number of passengers in 2022 and 2023 based on the increments given.
3. Step 2: Calculate the percentage increase from 2021 to 2023.

### Step-by-Step Solution:
1. Initial Assumptions:
- Let's assume the number of train passengers in 2021 is 100 (this simplifies calculations without loss of generality, as percentages are ratios).

2. Finding the number of passengers in 2022:
- In 2022, the number of passengers increased by 8% compared to 2021.
- New number of passengers in 2022 = (Original number in 2021) \ (1 + Percentage increase)
- Number of passengers in 2022 = 100 \ (1 + 0.08)
- Number of passengers in 2022 = 100 \ 1.08
- Number of passengers in 2022 = 108

3. Finding the number of passengers in 2023:
- In 2023, the number of passengers increased again by 8% compared to 2022.
- New number of passengers in 2023 = (Number of passengers in 2022) \ (1 + Percentage increase)
- Number of passengers in 2023 = 108 \ (1 + 0.08)
- Number of passengers in 2023 = 108 \ 1.08
- Number of passengers in 2023 = 116.64

4. Calculate the percentage increase from 2021 to 2023:
- The percentage increase = [tex]\(\frac{(\text{Number of passengers in 2023} - \text{Number of passengers in 2021})}{\text{Number of passengers in 2021}} \times 100\)[/tex]
- Substitute the values:
- Percentage increase = [tex]\(\frac{(116.64 - 100)}{100} \times 100\)[/tex]
- Percentage increase = [tex]\(\frac{16.64}{100} \times 100\)[/tex]
- Percentage increase = 16.64

So, the percentage increase in the number of train passengers from 2021 to 2023 is 16.64%.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.