Final answer:
To determine if the given weights could be the correct weight of the truck, we convert the truck's weight range from tons to pounds and compare. We find that 3,550 pounds, 2,700 pounds, and 5,450 pounds are all within the 4,000 to 6,000 pounds range, making them possible weights for the truck. Option 4 is correct.
Step-by-step explanation:
The question is looking for the weight of the truck in pounds when we know it weighs between 2 and 3 tons. Since 1 ton is equal to 2,000 pounds, we need to convert tons to pounds for this comparison.
To do this conversion, multiply the number of tons by the unit equivalence, which is 2,000 pounds per ton. Therefore, the lower bound of the truck's weight in pounds is 2 tons × 2,000 pounds/ton = 4,000 pounds, and the upper bound is 3 tons × 2,000 pounds/ton = 6,000 pounds.
Now, we look at the options given:
6,500 pounds - This is greater than 3 tons, so it is not a correct weight for the truck.
3,550 pounds - This is more than 2 tons but less than 3 tons, so it could be a correct weight for the truck.
2,700 pounds - This is also more than 2 tons but less than 3 tons, so this could also be a correct weight for the truck.
5,450 pounds - This, too, fits within the range of more than 2 tons but less than 3 tons, therefore, it could be the correct weight for the truck.
So, the weights of the truck that are possible are 3,550 pounds, 2,700 pounds, and 5,450 pounds.