Question

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

Answer 1

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.

Answer 2

$A_0 = 52$
$A_1 = A_0 + 2 = 52 + 2$
$A_2 = A_1 + 2 = (52 + 2) + 2 = 52 + 2(2)$
$A_3 = A_2 + 2 = [(52 + 2) + 2] + 2 = 52 + 3(2)$

$A_n = A_{n-1} + 2 = 52 + 2n$

Sub n = 93:
$A_{93} = 52 + 2(93) = 238$