Respuesta :
Answer:
After 4 months total cost of each health club would be the same that is $74.
Step-by-step explanation:
Let x represent number of months.
We have been given that Club A offers membership for a fee of $14 plus a monthly fee of $15.
The total cost of using Club A for x months would be [tex]15x+14[/tex].
We have been given that Club B offers membership for a fee of $18 plus a monthly fee of $14.
The total cost of using Club B for x months would be [tex]14x+18[/tex].
Let us equate both equations to find number of months, when both health clubs cost would be same.
[tex]15x+14=14x+18[/tex]
[tex]15x-14x+14=14x-14x+18[/tex]
[tex]x+14=18[/tex]
[tex]x+14-14=18-14[/tex]
[tex]x=4[/tex]
Therefore, after 4 months the total cost of each health club would be the same.
The total cost of using Club A: [tex]15(4)+14=60+14=74[/tex]
The total cost of using Club B: [tex]14(4)+18=56+18=74[/tex]
Therefore, the total cost for each club would be $74.
