1. Of the following, which best expresses 52 as a percent of 170?
Answer: A
52 is best expressed as 30% of 170.
To find what percentage 52 is of 170, we can use the formula: (part/whole) x 100. In this case, (52/170) x 100 equals approximately 30.59%, which rounds to 30%.
A) 30% of 170
This option is correct as it represents the closest approximation of 52 as a percentage of 170. Calculating 30% of 170 gives us 51, which is quite close to 52, validating that 52 can be expressed as approximately 30% of 170.
B) 33% of 170
This option is incorrect because 33% of 170 equals 56.1, which is higher than 52. Therefore, it does not accurately express 52 as a percentage of 170.
C) 35% of 170
This option is also incorrect since 35% of 170 equals 59.5, which again is greater than 52. Thus, it fails to represent 52 as a percentage of 170 accurately.
D) 40% of 170
This option is incorrect as well. Calculating 40% of 170 gives us 68, which significantly exceeds 52. Hence, it does not reflect the correct percentage representation of 52 in relation to 170.
Conclusion
The correct answer is A because it most closely represents 52 as a percentage of 170, yielding an approximate value of 30%. The other options fail as they represent percentages that exceed or do not meet the value of 52, demonstrating that they are not suitable representations for this question.