Final answer:
The algebraic rule to calculate the total cost (C) of the pumpkins and the wagon ride is C = 0.30p + 2, where p is the weight of the pumpkins in pounds.
Step-by-step explanation:
The Smiths want to calculate the cost of pumpkins that they pick at the pumpkin patch, which are priced at $0.30 per pound with an additional $2 fee for the wagon ride. To find the total cost of their trip, we need to write an algebraic rule that factors in both the weight of the pumpkins and the fixed wagon fee.
The algebraic rule for the total cost (C) can be expressed as C = 0.30p + 2, where p represents the total weight of the pumpkins in pounds. To compute the total cost, you multiply the weight of the pumpkins by $0.30 and then add the $2 wagon fee.
For example, if the Smiths pick 10 pounds of pumpkins, the calculation would be C = 0.30(10) + 2, which equals $5 for the pumpkins plus the wagon fee.