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Stu wants to join a gym. Fit-Place charges a $135 startup fee and then $35 per month. The Factory has no startup fee but charges $60 per month. Create a table showing the total cost for the first 8 months. Determine the month at which the total cost is the same.

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I don't know the answer use a calculater

Answer:

Fit-Place charges a $135 startup fee and then $35 per month.

Means the cost here will be based on the equation : [tex]135+35x[/tex] where x is the number of months.

The Factory has no startup fee but charges $60 per month. Here the equation will be [tex]60x[/tex], where x is the number of months.

Table ;

Months              1          2          3        4         5        6          7        8

Fit-Place          170      205     240     275     310     345    380   415

The Factory     60      120        180     240    300    360   420    480

The total cost will be same in:

[tex]60x=135+35x[/tex]

=> [tex]60x-35x=135[/tex]

=> [tex]25x=135[/tex]

x = 5.4 rounded to 5 months.

Now we can see that the total cost will be same in almost 5 months.

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