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

Question

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

The cost per month is $
.

The initial cost is $
.

Answer 1

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.