Question

Asheville had the highest percentage increase in the number of independent bookstores from 2023 to 2024.

Answer 1

Step 1: Understanding the Concept:
We need to calculate the percentage increase for each city that saw an increase in the number of bookstores and then compare these percentages to find the highest one.
Step 2: Key Formula or Approach:
\[ \text{Percentage Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100% \] Step 3: Detailed Explanation:
We only need to calculate the percentage increase for cities where the number of bookstores grew from 2023 to 2024.


Asheville: \( \frac{51 - 45}{45} \times 100% = \frac{6}{45} \times 100% = \frac{2}{15} \times 100% \approx 13.33% \)

Chicago: \( \frac{72 - 70}{70} \times 100% = \frac{2}{70} \times 100% = \frac{1}{35} \times 100% \approx 2.86% \)

Denver: \( \frac{76 - 74}{74} \times 100% = \frac{2}{74} \times 100% = \frac{1}{37} \times 100% \approx 2.70% \)

Minneapolis: \( \frac{65 - 58}{58} \times 100% = \frac{7}{58} \times 100% \approx 12.07% \)

Portland: \( \frac{100 - 90}{90} \times 100% = \frac{10}{90} \times 100% = \frac{1}{9} \times 100% \approx 11.11% \)

San Francisco: \( \frac{70 - 68}{68} \times 100% = \frac{2}{68} \times 100% = \frac{1}{34} \times 100% \approx 2.94% \)

Seattle: \( \frac{88 - 85}{85} \times 100% = \frac{3}{85} \times 100% \approx 3.53% \)

Step 4: Final Answer:
Comparing the calculated percentages, Asheville's increase of approximately 13.33% is the highest. Therefore, the statement is true.

Answer 2

Step 1: Understanding the Concept:
We need to examine the data for each city and identify which ones experienced a decrease in the number of bookstores from 2023 to 2024.
Step 2: Detailed Explanation:
Let's check the change for each city by comparing the 2024 value to the 2023 value.


Asheville: 51 (2024) > 45 (2023) \(\implies\) Increase

Austin: 80 (2024) < 82 (2023) \(\implies\) Decline

Boston: 84 (2024) < 87 (2023) \(\implies\) Decline

Chicago: 72 (2024) > 70 (2023) \(\implies\) Increase

Denver: 76 (2024) > 74 (2023) \(\implies\) Increase

Minneapolis: 65 (2024) > 58 (2023) \(\implies\) Increase

Portland: 100 (2024) > 90 (2023) \(\implies\) Increase

San Francisco: 70 (2024) > 68 (2023) \(\implies\) Increase

Seattle: 88 (2024) > 85 (2023) \(\implies\) Increase

Step 3: Final Answer:
Only Austin and Boston saw a decline in the number of bookstores. Therefore, the statement is true.

Answer 3

Step 1: Understanding the Concept:
We need to calculate the total number of bookstores across all cities in 2024 and then find the percentage that San Francisco's bookstores represent out of this total.
Step 2: Detailed Explanation:
First, sum the number of bookstores for all cities in 2024: \[ \text{Total}_{2024} = 51 + 80 + 84 + 72 + 76 + 65 + 100 + 70 + 88 \] \[ \text{Total}_{2024} = 686 \] The number of bookstores in San Francisco in 2024 is 70.
Now, calculate the percentage: \[ \text{Percentage}_{SF} = \frac{\text{SF Bookstores}}{\text{Total Bookstores}} \times 100% = \frac{70}{686} \times 100% \] To check if this is less than 10%, we can compare 70 to 10% of 686.
\[ 10% \text{ of } 686 = 0.10 \times 686 = 68.6 \] Since 70 is greater than 68.6, San Francisco accounted for more than 10% of the total.
Step 3: Final Answer:
The statement that San Francisco accounted for less than 10% is false.