Question
A local bank serves 43,900 customers. The bank generates a list of all its customers, assigns them consecutive IDs, then sends out a survey to every fourth customer. If 8,632 of the surveyed participants respond, what is the response rate, to the nearest integer? (1 point) 25 percent 79 percent 10 percent 20 percent
Answers
GPT-4o mini
To find the response rate, we can use the following formula:
\[
\text{Response Rate} = \left( \frac{\text{Number of Responses}}{\text{Number Surveyed}} \right) \times 100
\]
1. First, determine the number of customers surveyed. Since the bank surveys every fourth customer:
\[
\text{Number Surveyed} = \frac{43,900}{4} = 10,975
\]
2. Now plug in the number of responses (8,632) into the formula:
\[
\text{Response Rate} = \left( \frac{8,632}{10,975} \right) \times 100
\]
3. Calculate the response rate:
\[
\text{Response Rate} = \left( \frac{8,632}{10,975} \right) \times 100 \approx 78.6\%
\]
4. Rounding to the nearest integer gives:
\[
\text{Response Rate} \approx 79\%
\]
Therefore, the response rate is **79 percent**.
\[
\text{Response Rate} = \left( \frac{\text{Number of Responses}}{\text{Number Surveyed}} \right) \times 100
\]
1. First, determine the number of customers surveyed. Since the bank surveys every fourth customer:
\[
\text{Number Surveyed} = \frac{43,900}{4} = 10,975
\]
2. Now plug in the number of responses (8,632) into the formula:
\[
\text{Response Rate} = \left( \frac{8,632}{10,975} \right) \times 100
\]
3. Calculate the response rate:
\[
\text{Response Rate} = \left( \frac{8,632}{10,975} \right) \times 100 \approx 78.6\%
\]
4. Rounding to the nearest integer gives:
\[
\text{Response Rate} \approx 79\%
\]
Therefore, the response rate is **79 percent**.