Question 692027
Let {{{ C }}} = the cost of membership to a health club
of your choice
Let {{{ n }}} = the number of months that you belong to a health club
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(a)
Equation for club A:
(1) {{{ C = 50 + 25n }}}
Equation for club B:
(2) {{{ C = 25 + 30n }}}
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(b)
Set the costs equal to eachother
{{{ 50 + 25n = 25 + 30n }}}
{{{ 30n - 25n = 50 - 25 }}}
{{{ 5n = 25 }}}
{{{ n = 5 }}}
In 5 months the cost to belong to the health clubs be the same
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(c)
Equation for club A:
(1) {{{ C = 50 + 25n }}}
(1) {{{ C = 50 + 25*5 }}}
(1) {{{ C = 50 + 125 }}}
(1) {{{ C = 175 }}}
Equation for club B:
(2) {{{ C = 25 + 30n }}}
(2) {{{ C = 25 + 30*5 }}}
(2) {{{ C = 25 + 150 }}}
(2) {{{ C = 175 }}}
The total cost for both A and B is $175
in 5 months