Question 1066737
And the question is? I guess when do A and B cost the same?
Let {{{ x }}} = number of songs
Let {{{ C }}} = membership cost
Equation for A:
(1) {{{ C = 1*x + 1 }}}
Equation for B:
(2) {{{ C = .5x + 4.5 }}}
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Substitute (1) into (2)
(2) {{{ x + 1 = .5x + 4.5 }}}
(2) {{{ .5x = 3.5 }}}
(2) {{{ x = 7 }}}
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For 7 songs, the cost of A and B are equal
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Here's plots for the 2 companies:
Company A starts out with lower cost
{{{ graph( 400, 400, -1, 10, -3, 15, x + 1, .5x + 4.5 ) }}}