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what is the percent increase from 250 to 900? 1. write the percent chan…

Question

what is the percent increase from 250 to 900?

  1. write the percent change formula for an increase.

\\(\text{percent increase} = \frac{\text{amount of increase}}{\text{original amount}}\\)

  1. substitute the known quantities for the amount of the increase and the original amount.

\\(\text{percent increase} = \frac{900 - 250}{250}\\)

  1. subtract.

\\(\text{percent increase} = \frac{650}{250}\\)

  1. express the ratio as a percent: %

Explanation:

Response

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<reasoning>

Calculate the ratio

Using the Percent of Change knowledge point
\[
\text{Ratio} = \frac{650}{250} = \frac{65}{25} = 2.6
\]

Convert to percent

Using the Percent of Change knowledge point
\[
2.6 \times 100\% = 260\%
\]
</reasoning>

<answer>
What is the percent increase from 250 to 900?

  1. Write the percent change formula for an increase.

\(\text{Percent Increase} = \frac{\text{Amount of Increase}}{\text{Original Amount}}\)

  1. Substitute the known quantities for the amount of the increase and the original amount.

\(\text{Percent Increase} = \frac{900 - 250}{250}\)

  1. Subtract.

\(\text{Percent Increase} = \frac{650}{250}\)

  1. Express the ratio as a percent: <blank>260</blank>%

</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent of Change"
]
}
</post_analysis>

Answer:

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<reasoning>

Calculate the ratio

Using the Percent of Change knowledge point
\[
\text{Ratio} = \frac{650}{250} = \frac{65}{25} = 2.6
\]

Convert to percent

Using the Percent of Change knowledge point
\[
2.6 \times 100\% = 260\%
\]
</reasoning>

<answer>
What is the percent increase from 250 to 900?

  1. Write the percent change formula for an increase.

\(\text{Percent Increase} = \frac{\text{Amount of Increase}}{\text{Original Amount}}\)

  1. Substitute the known quantities for the amount of the increase and the original amount.

\(\text{Percent Increase} = \frac{900 - 250}{250}\)

  1. Subtract.

\(\text{Percent Increase} = \frac{650}{250}\)

  1. Express the ratio as a percent: <blank>260</blank>%

</answer>

<post_analysis>
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