Final answer:
The expression for the total miles traveled by the truck is 7 × 205 + n × 1041, where n is the number of round trips to Nashville. The term n × 1041 represents the total miles traveled to and from Nashville.
Step-by-step explanation:
Last month, a truck made seven round trips to Erie and some round trips to Nashville. To write an expression that shows how many miles it traveled in all, we need to multiply the number of round trips by the miles per round trip for each city and add these together. A round trip to Erie is 205 miles, so seven round trips equal 7 times 205 miles. For Nashville, a round trip is 1041 miles, and the truck made n round trips there. Therefore, the total miles traveled to Nashville will be 1041 times n.
The expression representing the total miles traveled to Erie and Nashville is 7 × 205 + n × 1041. The part of the expression that shows how many miles were traveled to and from Nashville is n × 1041. This is because n represents the unknown number of round trips to Nashville, and each round trip is 1041 miles. Hence, the product of n and 1041 will give us the total miles traveled to Nashville.