The table below shows the cost for a movie theater membership with an initial start up fee charged in the first month.
Number of months/cost
1 / 55
2 / 90
3 / 125
The cost per month is?
The initial cost is?
To find the cost per month, we can calculate the difference in cost between each consecutive month and divide by the number of months:
Cost for 1 month: $55
Cost for 2 months: $90
Cost for 3 months: $125
Cost difference between 1st and 2nd month: $90 - $55 = $35
Cost difference between 2nd and 3rd month: $125 - $90 = $35
Average cost per month: ($35 + $35) / 2 months = $70 per month
To find the initial cost, we can subtract the cost per month from the first month's total cost:
Initial cost = Total cost for 1 month - (Cost per month x Number of months)
Initial cost = $55 - ($70 x 1) = $55 - $70 = -$15
Since it doesn't make sense to have a negative initial cost, we can conclude that there might be a mistake in the given data or calculations.