Question

Two weeks before an examination day, a librarian monitored the number of students who visited the library. Then they compared it with the number of visits made in an average week. Approximately 2×103 visits were reflected in their logbook during this two-week period, while only about 5×102 were reflected on an average week. How many times higher is the number of library visits before examination day compared to the library visits in an average week? Your answer should be a whole number.(1 point)

Answer 1

To find how many times higher the number of library visits before examination day is compared to the average weekly visits, we need to calculate the ratio of the two visit numbers.

1. The total visits during the two weeks before examination day is approximately \( 2 \times 10^3 \).
2. The average weekly visits is approximately \( 5 \times 10^2 \).

First, calculate the total visits for two weeks:

• Two weeks before the examination day: \[ 2 \times 10^3 = 2000 \text{ visits} \]

Next, calculate the total visits over two weeks: Given that there are 2 weeks, the two-week total can be represented as \( 2 \times \text{weekly visits} \). If the average visits per week is \( 5 \times 10^2 \):

• Average visits per week: \[ 5 \times 10^2 = 500 \text{ visits} \]
• Total visits in two weeks: \[ 2 \times 500 = 1000 \text{ visits} \]

Now, we calculate the number of visits in two weeks:

• Visits in two weeks before examination: \( 2000 \)
• Average visits in two weeks: \( 1000 \)

Next, find out how many times higher the visits before examination are compared to the average weekly visits: \[ \text{Number of times higher} = \frac{\text{visits in two weeks before examination}}{\text{average visits in two weeks}} = \frac{2000}{1000} = 2 \]

Thus, the number of library visits before examination day is approximately 2 times higher than the average weekly visits.