A national festival lasts for 5 days. If the first day has 200 visitors and the
Practice Questions
Q1
A national festival lasts for 5 days. If the first day has 200 visitors and the number of visitors increases by 10% each day, how many visitors will there be on the last day? (2023)
250
300
220
240
Questions & Step-by-Step Solutions
A national festival lasts for 5 days. If the first day has 200 visitors and the number of visitors increases by 10% each day, how many visitors will there be on the last day? (2023)
Step 1: Identify the number of visitors on the first day, which is 200.
Step 2: Understand that the number of visitors increases by 10% each day.
Step 3: Convert the 10% increase into a decimal, which is 0.10.
Step 4: Calculate the growth factor for each day, which is 1 + 0.10 = 1.10.
Step 5: Since the festival lasts for 5 days, we need to find the number of visitors on the last day (5th day).
Step 6: The number of visitors on the last day can be calculated using the formula: Visitors on last day = Initial visitors * (Growth factor)^(Number of days - 1).
Step 7: Plug in the numbers: Visitors on last day = 200 * (1.10)^(5 - 1) = 200 * (1.10)^4.
Step 8: Calculate (1.10)^4, which is approximately 1.4641.
Step 9: Multiply 200 by 1.4641 to get the number of visitors on the last day: 200 * 1.4641 ≈ 292.82.
Step 10: Round the result to the nearest whole number, which is approximately 293.
Exponential Growth – The problem tests understanding of exponential growth where a quantity increases by a fixed percentage over a series of time intervals.
Percentage Increase – It assesses the ability to calculate percentage increases and apply them over multiple periods.
Rounding Numbers – The question involves rounding the final answer, which can lead to different interpretations of the result.
