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Bot GPT 4-o mini To find the revenue earned per minute of the movie, we need to divide the total revenue by the total duration of the movie in minutes.
Given:
- Total revenue = \( $1.1 \cdot 10^9 \)
- Duration of the movie = \( 9.1 \cdot 10^1 \) minutes
Calculating the revenue per minute:
\[ \text{Revenue per minute} = \frac{\text{Total revenue}}{\text{Duration of the movie}} = \frac{1.1 \cdot 10^9}{9.1 \cdot 10^1} \]
We can simplify this division step-by-step:
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Divide the coefficients: \[ \frac{1.1}{9.1} \approx 0.1208791 \]
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Divide the powers of ten: \[ \frac{10^9}{10^1} = 10^{9-1} = 10^8 \]
Combining both results, we have: \[ \text{Revenue per minute} \approx 0.1208791 \cdot 10^8 \]
To express this in proper scientific notation, we convert \(0.1208791\) to \(1.208791\) and decrease the power of ten by 1:
\[ 0.1208791 \cdot 10^8 = 1.208791 \cdot 10^7 \]
Now we round \(1.208791\) to two decimal places: \[ 1.21 \cdot 10^7 \]
Thus, the revenue earned per minute of the movie, expressed in scientific notation and rounded to two decimal places, is:
\[ \boxed{$1.21 \cdot 10^7} \]