Casey wants to buy a gym membership. One gym has a $182 joining fee and costs $32 per month. Another gym has no joining fee and costs $58 per month. Part 1 out of 2 In how many months will both gym memberships cost the same? What will that cost be? Both gym memberships will cost the same in months. The cost will be $ .

Both gym memberships will cost same in 7 months and the coast will be $406.Step-by-step explanation:Let,A and B the gyms.x be the number of monthsMembership fee of one gym A= $182Per month fee of Gym A= $32Therefore, A(x)=32x+182   Eqn 1Per month fee of Gym B= $58B(x)=58x   Eqn 2The gyms will cost same when,A(x)=B(x)Putting values of both[tex]32x+182=58x\\58x-32x=182\\26x=182[/tex]Dividing both sides by 26[tex]\frac{26x}{26}=\frac{182}{26}\\x=7[/tex]In how many months will both gym memberships cost the same? What will that cost be?After 7 months, both gym memberships will cost the same.What will that cost be?Putting x=7 in Eqn 2[tex]B(x)=58(7)\\B(x)=\$406[/tex]The cost will be $406.Keywords: functions, divisionLearn more about functions at:brainly.com/question/3614284brainly.com/question/3799248#LearnwithBrainly