You have steamed 174 miles and consumed 18.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 416 miles?
• Fuel consumption is directly proportional to distance when speed and engine settings stay the same • Use a unit rate: tons of fuel per mile, then scale up • Check your ratio setup so miles are in the same position on both sides of the proportion
• How can you find how many tons of fuel are used for one mile at this speed? • Once you know tons per mile, how do you scale that to 416 miles? • When you set up your proportion, are you comparing like with like (miles to miles, tons to tons)?
• Compute the fuel consumption per mile from the first part of the question before looking at the answer choices • Set up a proportion of the form (fuel used)/(miles steamed) = (fuel needed)/(miles to steam) • After you calculate, check if the result is reasonable: it should be more than 18 tons but not more than double 18 tons, since 416 miles is a bit more than twice 174 miles
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