Question

martas mother shared a funny video of their cat on the internet. the total number of people who had viewed the video over the first 30 days could be modeled using the function \\(f(x) = 33(1.3)^x\\) where \\(x\\) is the number of days the video has been online.

about how many people had viewed the video once it had been online for 20 days?

190
858
6,271
86,460

Explanation:

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<reasoning>

Identify the given function and variable

\[
f(x) = 33(1.3)^x
\]
\[
x = 20
\]

Evaluate the function at the given value

\[
f(20) = 33(1.3)^{20}
\]
\[
(1.3)^{20} \approx 190.0496
\]
\[
f(20) \approx 33 \times 190.0496 \approx 6271.637
\]

Match with the closest option

\[
6271.637 \approx 6,271
\]
</reasoning>

<answer>
<mcq-option>190</mcq-option>
<mcq-option>858</mcq-option>
<mcq-correct>6,271</mcq-correct>
<mcq-option>86,460</mcq-option>
</answer>

<post_analysis>
{
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Exponential Modeling"
]
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Answer:

<pre_analysis>
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"multiple_choice_formatter",
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"new_concepts": [],
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</pre_analysis>

<reasoning>

Identify the given function and variable

\[
f(x) = 33(1.3)^x
\]
\[
x = 20
\]

Evaluate the function at the given value

\[
f(20) = 33(1.3)^{20}
\]
\[
(1.3)^{20} \approx 190.0496
\]
\[
f(20) \approx 33 \times 190.0496 \approx 6271.637
\]

Match with the closest option

\[
6271.637 \approx 6,271
\]
</reasoning>

<answer>
<mcq-option>190</mcq-option>
<mcq-option>858</mcq-option>
<mcq-correct>6,271</mcq-correct>
<mcq-option>86,460</mcq-option>
</answer>

<post_analysis>
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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
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"Exponential Modeling"
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