QUESTION IMAGE
Question
what is the percent increase from 250 to 900?
- write the percent change formula for an increase.
\\(\text{percent increase} = \frac{\text{amount of increase}}{\text{original amount}}\\)
- substitute the known quantities for the amount of the increase and the original amount.
\\(\text{percent increase} = \frac{900 - 250}{250}\\)
- subtract.
\\(\text{percent increase} = \frac{650}{250}\\)
- express the ratio as a percent: %
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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?
- Write the percent change formula for an increase.
\(\text{Percent Increase} = \frac{\text{Amount of Increase}}{\text{Original Amount}}\)
- Substitute the known quantities for the amount of the increase and the original amount.
\(\text{Percent Increase} = \frac{900 - 250}{250}\)
- Subtract.
\(\text{Percent Increase} = \frac{650}{250}\)
- Express the ratio as a percent: <blank>260</blank>%
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent of Change"
]
}
</post_analysis>
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<pre_analysis>
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"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"tutor",
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],
"needs_drawing": false,
"concepts_used": [
"Percent of Change"
],
"new_concepts": [],
"current_concepts": [
"Percent of Change",
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</pre_analysis>
<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?
- Write the percent change formula for an increase.
\(\text{Percent Increase} = \frac{\text{Amount of Increase}}{\text{Original Amount}}\)
- Substitute the known quantities for the amount of the increase and the original amount.
\(\text{Percent Increase} = \frac{900 - 250}{250}\)
- Subtract.
\(\text{Percent Increase} = \frac{650}{250}\)
- Express the ratio as a percent: <blank>260</blank>%
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Percent of Change"
]
}
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