Question

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 $
.

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**.