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 copies
∴ at n=1Β  β‡’β‡’β‡’ f(1) = 800

Each week the number of copies sold decreased by 11%.
∴ at n = 2 β‡’β‡’β‡’ f(2) = 800 * (1-.11) = 800 * 0.89 = f(1) * 0.89
Β Β  at n = 3 β‡’β‡’β‡’ f(3) = 800 * 0.89 *0.89 = 800 * 0.89Β² = f(1) * 0.89 * f(2)
Β Β  at n = 4 β‡’β‡’β‡’ f(4) = 800 * 0.89Β³ = f(1) * 0.89 * f(3)
and so on .......

∴ [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


solved
general 6 months ago 6158