The population of Gilbert increased 275%. Which of the following are equivalent to 275%?
257
27 1\2
The Correct Answer and Explanation is:
The correct answer is:
275% = 275
To understand this equivalence, let’s break down what a percentage increase means and how it applies in this context.
Understanding Percentages and Increase
Percentages express a part of a whole per 100 units. In practical terms, if something increases by 275%, it means that it has gained 275 parts for every 100 parts of the original amount. Therefore, a 275% increase represents the original amount plus an additional 275% of that amount.
However, if we’re simply expressing 275% itself as a whole number without needing to add it to the original population, we can directly convert it to a decimal or interpret it as is.
Converting 275% to Decimal and Whole Numbers
- Percentage to Decimal: When converting percentages to decimals, you divide by 100. So:
[
275\% = \frac{275}{100} = 2.75
]
Here, 2.75 represents the total multiplier when applied to an original value. For instance, if the population started at 100 people, a 275% increase would mean:
[
100 \times 2.75 = 275
] - Percentage as a Whole Number: Since the question does not specify a change relative to an initial population but simply asks for the equivalent of 275%, the answer remains:
[
275\% = 275
]
Equivalent Statements for 275%
- A 275% increase means the new amount is 3.75 times the original amount (100% + 275% = 375%, which is 3.75 in decimal).
- In fractional form, 275% can be represented as 2 ¾ when simplified, since it equals 2.75, or 2 whole and ¾ of a whole.
Thus, the correct answer from the choices is 275.