Final answer:
The price of five pumpkin pies, when each pie costs $6.50, is $32.50.
Step-by-step explanation:
The student has asked how much five pumpkin pies would cost if the purchase price is directly proportional to the number of pies purchased, given that three pies cost $19.50. To solve this, we can establish the unit price per pie by dividing $19.50 by 3, which gives us $6.50 per pie. Therefore, the cost for five pumpkin pies can be calculated by multiplying the unit price by five.
Total cost for five pumpkin pies = 5 pies × $6.50 per pie = $32.50.