You have steamed 265 miles and consumed 25.0 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 346 miles?
• Fuel consumption is proportional to distance when speed and engine settings stay the same • Set up a ratio (proportion): miles per ton or tons per mile • Be careful with unit consistency (miles with miles, tons with tons)
• What is the fuel consumed per mile based on the first part of the problem? • Once you know tons per mile, how can you use that to find fuel for 346 miles at the same rate? • After calculating, which multiple-choice option is closest to your computed value?
• Compute tons per mile using 25.0 tons over 265 miles before looking at the answer choices • Multiply your tons-per-mile figure by 346 miles to get total fuel for the new distance • Check whether your final answer is reasonable: it should be more than 25.0 tons, because 346 miles is more than 265 miles
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