You have steamed 300 miles and consumed 34 tons of fuel. If you maintain the same speed, how many tons of fuel will you consume while steaming 700 miles?
• Fuel consumption is proportional to distance when speed and conditions remain the same • Set up a ratio (proportion) between miles steamed and tons of fuel used • Keep units consistent: miles with miles, tons with tons
• If 34 tons are used for 300 miles, how many tons would be used for 1 mile? • Once you know tons per mile, how can you scale that up to 700 miles? • Alternatively, can you set up a proportion of the form 300 miles : 34 tons = 700 miles : X tons and solve for X?
• Be sure you divide fuel by distance to get tons per mile, not the other way around • After you calculate the fuel for 700 miles, compare it to 34 tons — should it be more or less, and by about what factor? • Double-check your arithmetic, especially multiplication and division, before matching to the nearest choice.
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