Use the function tables to solve the problems.

Table :2
Input ( Number of Pies Sold). Output( cost)
1. $ 12.65
2
3 $ 37.95
4
What is the rule for Table 2 ? What are the missing output entries in Table 2?

2/ following the same rule set in Table 2 , what would the output number be if 7 pies were sold?

To determine the rule for Table 2, we need to analyze the relationship between the "Number of Pies Sold" and the corresponding "Cost" given in the table.

Looking at the table, we can observe that as the "Number of Pies Sold" increases, the "Cost" also increases. So, the rule could be that the cost is directly proportional to the number of pies sold.

To find the missing output entries in Table 2, we can use the information from the given inputs and the rule.

In Table 2, we are provided with the following information:
Input: 1 --> Output: $12.65
Input: 3 --> Output: $37.95

By comparing the two given inputs and outputs, we can see that as the number of pies sold increases from 1 to 3, the cost increases by $25.30 ($37.95 - $12.65).

To find the missing output for an input of 2, we need to add $25.30 to the output for the input of 1.
Output for input 2 = $12.65 + $25.30 = $38.95

Similarly, to find the missing output for an input of 4, we add $25.30 to the output for the input of 3.
Output for input 4 = $37.95 + $25.30 = $63.25

Therefore, the missing output entries in Table 2 are:
Input: 2 --> Output: $38.95
Input: 4 --> Output: $63.25

Now, let's use the rule to determine the output if 7 pies were sold.

Using the same rule observed from Table 2, we can determine that for every additional pie sold, the cost increases by $25.30.

To find the output for 7 pies sold, we can add $25.30 to the output for 6 pies sold.
Output for input 7 = Output for input 6 + $25.30

To find the output for input 6, we can refer to the table or apply the rule:
Output for input 6 = Output for input 3 + $25.30 = $37.95 + $25.30 = $63.25

Therefore, the output for 7 pies sold would be $63.25 + $25.30 = $88.55.

Hence, if 7 pies were sold, the output number or cost would be $88.55.