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The most streamed song in the US on Spotify in 2022 was Harry Styles's As It Was. The table gives the accumulated Spotify streaming

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The most streamed song in the US on Spotify in 2022 was Harry Styles's As It Was. The table gives the accumulated Spotify streaming data (in millions) for each month in 2022 after the song's release on April 1. Spotify Streams for As It Was Month, t April 2022 May 2022 June 2022 July 2022 August 2022 September 2022 October 2022 lim S(t) = t 0+ November 2022 December 2022 Total Streams, S (in millions) 74.823 134.867 176.844 212.831 244.983 275.153 302.197 324.619 Source: Spotify Charts (a) Find the function for the logarithmic model that gives the total number of Spotify streams for As It Was in millions, where t=1 is January 2022, with data from 4 t 12. (Round all numerical values to three decimal places.) S(t) = million, 4 t 12 346.639 (b) Express the end behavior of the model by using limits. lim S(t) = t (c) Using the model, estimate the total number of streams at the end of February 2023. (Round your answer to two decimal places.) million. In February 2023, the total number of Spotify streams of As It Was was

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