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 months
Membership fee of one gym A= $182
Per month fee of Gym A= $32
Therefore,
A(x)=32x+182 Eqn 1
Per month fee of Gym B= $58
B(x)=58x Eqn 2
The 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, division
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