A national festival lasts for 5 days. If the first day has 1,000 visitors and each subsequent day sees a 10% increase in visitors, how many visitors will there be on the last day? (2023)
Practice Questions
1 question
Q1
A national festival lasts for 5 days. If the first day has 1,000 visitors and each subsequent day sees a 10% increase in visitors, how many visitors will there be on the last day? (2023)
1,464
1,500
1,600
1,700
Visitors on the last day = 1,000 * (1 + 0.10)^4 = 1,000 * 1.4641 ≈ 1,464.
Questions & Step-by-step Solutions
1 item
Q
Q: A national festival lasts for 5 days. If the first day has 1,000 visitors and each subsequent day sees a 10% increase in visitors, how many visitors will there be on the last day? (2023)
Solution: Visitors on the last day = 1,000 * (1 + 0.10)^4 = 1,000 * 1.4641 ≈ 1,464.
Steps: 10
Step 1: Identify the number of visitors on the first day, which is 1,000.
Step 2: Understand that each subsequent day has a 10% increase in visitors.
Step 3: Calculate the increase factor for each day, which is 1 + 0.10 = 1.10.
Step 4: Since the festival lasts for 5 days, we need to calculate the number of visitors for the last day (5th day).
Step 5: The number of days after the first day is 4 (Day 2, Day 3, Day 4, Day 5).
Step 6: Use the formula: Visitors on the last day = Initial visitors * (Increase factor)^(Number of days after the first day).
Step 7: Plug in the numbers: Visitors on the last day = 1,000 * (1.10)^4.
Step 8: Calculate (1.10)^4, which is approximately 1.4641.
Step 9: Multiply 1,000 by 1.4641 to find the number of visitors on the last day.
Step 10: The final result is approximately 1,464 visitors on the last day.
