To solve the problem of converting the weight of a semi truck from tons to pounds using dimensional analysis, we will use the following conversion factors:
- 1 ton = 2000 pounds
Now we can set up the conversion:
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Start with the weight of the truck in tons: \[ \text{Weight of truck} = 3.4 \text{ tons} \]
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Use the conversion factor to convert tons to pounds: \[ \text{Weight in pounds} = 3.4 \text{ tons} \times \frac{2000 \text{ pounds}}{1 \text{ ton}} \]
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Carry out the multiplication: \[ \text{Weight in pounds} = 3.4 \times 2000 \text{ pounds} \]
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Calculate: \[ \text{Weight in pounds} = 6800 \text{ pounds} \]
Thus, the weight of the semi truck is \( \boxed{6800 \text{ pounds}} \).