The table below shows the cost for a movie theater membership with an initial start-up fee charged in the first month. Click Here for Help Video

Number of Months
Cost ($)
1
69
69
2
98
98
3
127
127

The cost per month is $
.

The initial cost is $
.

1 answer

To determine the cost per month and the initial cost from the provided data, we can break down the cost structure.

  1. Initial Cost: This is typically the cost incurred in the first month, which is the start-up fee. From the table, the cost for 1 month is $69. So, the initial cost is:

    Initial Cost = $69

  2. Cost per Month: To find the cost per month, we observe the additional costs incurred in the subsequent months.

    • For 2 months, the cost is $98. The additional cost for the second month is: \[ 98 - 69 = 29 \]
    • For 3 months, the cost is $127. The additional cost for the third month is: \[ 127 - 98 = 29 \]

    It appears that the cost per month after the initial payment of $69 is $29.

    Thus, the cost per month is:

    Cost per Month = $29

In summary:

  • The initial cost is $69.
  • The cost per month is $29.