Question

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.

Answer 1

I don't know the answer use a calculater

Answer 2

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

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

The Factory has no startup fee but charges $60 per month. Here the equation will be
`60x`, 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:

`60x=135+35x`

=>
`60x-35x=135`

=>
`25x=135`

x = 5.4 rounded to 5 months.

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