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Answer :
Substitute t with 10 in the function f(t) = 105.2 + 69 ln(t) to find the total income 10 days after the opening, resulting in an estimated income of approximately $264.08 million.
To estimate the total income from the movie 10 days after the opening, we will use the given function f(t) = 105.2 + 69 ln(t), where ln represents the natural logarithm. Substituting t with 10 days gives us f(10) = 105.2 + 69 ln(10). Calculating the natural logarithm of 10 and then multiplying by 69, we add it to 105.2 to get the total income in millions of dollars.
To perform the actual calculation: f(10) = 105.2 + 69 imes ln(10) \\= 105.2 + 69 imes 2.3026 \\= 105.2 + 158.8794 \\= 264.0794 million dollars
Therefore, the estimated total income from the movie, 10 days after the opening, is approximately $264.08 million.
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