Select ALL the correct answers.Marley owns a music store. The first week a new album was released, he sold 800 copies at his store. Each week after the release, the number of copies sold decreased by 11%.Select all the functions that can be used to find the number of copies sold, f(n), n weeks after the release.
Question
Answer:
first week sold 800 copiesβ΄ at n=1Β βββ f(1) = 800
Each week the number of copies sold decreased by 11%.
β΄ at n = 2 βββ f(2) = 800 * (1-.11) = 800 * 0.89 = f(1) * 0.89
Β Β at n = 3 βββ f(3) = 800 * 0.89 *0.89 = 800 * 0.89Β² = f(1) * 0.89 * f(2)
Β Β at n = 4 βββ f(4) = 800 * 0.89Β³ = f(1) * 0.89 * f(3)
and so on .......
β΄ [tex] f(n) = 800 * 0.89^{n-1} [/tex]
Β Β Β Or which can be written as
Β Β Β f(1) = 800 , f(n) = 0.89 * f(n-1)Β n β₯ 2
The correct choices are:
[tex]f(n) = 800 * 0.89^{n-1} [/tex]
f(1) = 800 , f(n) = 0.89 * f(n-1)Β n β₯ 2
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