19. A new professional saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?
Answer: B
The approximate percentage increase in client volume is 27%.
To calculate the percentage increase in client volume from the first year to the second year, we can use the formula: \((\text{New Value} - \text{Old Value}) / \text{Old Value} \times 100\). This gives us \((1072 - 841) / 841 \times 100 \approx 27\%\).
A) 127%
This option is incorrect because a 127% increase would imply that the number of clients more than doubled, which is not supported by the figures provided. The actual increase is significantly less than this, as the total number of clients only rose from 841 to 1072.
B) 27%
This option is correct as it accurately reflects the calculated percentage increase in client volume from the first year (841 clients) to the second year (1072 clients). The formula used yields an increase of approximately 27%, confirming this choice.
C) 22%
This option is incorrect because it underestimates the percentage increase in clients. The correct calculation shows a higher increase than 22%, which does not align with the data provided regarding client volume growth.
D) 78%
This option is also incorrect since it suggests a much larger increase than what occurred. A 78% increase would imply a much higher number of clients than 1072, which is not consistent with the figures given.
Conclusion
The correct answer is 27%, as it precisely matches the calculated percentage increase based on the client numbers from the first to the second year. All other options either overestimate or underestimate the increase, demonstrating that they do not align with the actual data presented.