To determine how much revenue was earned per minute of the animated movie, we will follow these steps:
1. Identify the given values:
- Total revenue earned by the movie: [tex]\(\$ 1.1 \cdot 10^9\)[/tex]
- Duration of the movie: [tex]\(9.1 \cdot 10^1\)[/tex] minutes
2. Convert these values into standard form:
- Total revenue: [tex]\(\$ 1,100,000,000\)[/tex]
- Duration: [tex]\(91\)[/tex] minutes
3. Calculate the revenue earned per minute:
[tex]\[
\text{Revenue per minute} = \frac{\text{Total revenue}}{\text{Duration in minutes}}
\][/tex]
Substituting the given values:
[tex]\[
\text{Revenue per minute} = \frac{1,100,000,000}{91} \approx 12,087,912.087912088
\][/tex]
4. Round the result to two decimal places:
[tex]\[
12,087,912.087912088 \approx 12,087,912.09
\][/tex]
5. Express the rounded result in scientific notation:
- The number 12,087,912.09 in scientific notation is written as [tex]\(1.21 \cdot 10^7\)[/tex]
So, the revenue earned per minute of the movie is:
[tex]\[
\boxed{\$ 1.21 \cdot 10^7}
\][/tex]
