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Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know how many songs she will have after 93 weeks. Which equation should she use

Respuesta :

isaiahc24
y=52+2x

Plug 93 in as the "x" to get the "y" or the number of total songs after 93 weeks added to her original 52.
[tex]A_0 = 52[/tex]
[tex]A_1 = A_0 + 2 = 52 + 2[/tex]
[tex]A_2 = A_1 + 2 = (52 + 2) + 2 = 52 + 2(2)[/tex]
[tex]A_3 = A_2 + 2 = [(52 + 2) + 2] + 2 = 52 + 3(2)[/tex]

[tex]A_n = A_{n-1} + 2 = 52 + 2n[/tex]

Sub n = 93:
[tex]A_{93} = 52 + 2(93) = 238[/tex]

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