3. Of the following, which best expresses 52 as a percent of 170?
Answer: A
52 is best expressed as 30% of 170.
To determine what percentage 52 is of 170, we calculate \( \frac{52}{170} \times 100 \), which results in approximately 30.59%. Therefore, 52 is closest to 30% of 170.
A) 30% of 170
This option is correct because calculating 30% of 170 yields \( 0.30 \times 170 = 51 \), which is very close to 52. Thus, 52 can be reasonably expressed as 30% of 170.
B) 33% of 170
This option is incorrect since calculating 33% of 170 results in \( 0.33 \times 170 = 56.1 \). This value exceeds 52, making it an improper representation of the percentage.
C) 35% of 170
This option is also incorrect. When calculating 35% of 170, we find \( 0.35 \times 170 = 59.5 \), which is greater than 52. Therefore, it does not accurately express 52 as a percentage of 170.
D) 40% of 170
This option is incorrect as well. Calculating 40% of 170 gives \( 0.40 \times 170 = 68 \), significantly higher than 52, hence it cannot represent 52 as a percentage of 170.
Conclusion
The option that best expresses 52 as a percent of 170 is 30%, as it yields a result closest to the actual calculation. All other options overshoot the value of 52, demonstrating that they cannot accurately represent it as a percentage of 170.