Student Number On a 1287 mile long road trip in windy conditions, a family calcu

Question

Student Number On a 1287 mile long road trip in windy conditions, a family calculates their fuel economy to be 18 miles per gallon over the 2 days it takes to reach their destination. On their 2-day return trip, with a similar wind at their backs, their calculations show a fuel economy of 26 miles per gallon. 17. Calculate the expected fuel economy of their vehicle in ideal (non-windy) conditions ( as well as the influence of the wind (w) in miles per gallon. 18. Compare how many gallons of fuel they used for the round trip to the expected usage in ideal (non-windy) travel conditions. Which uses more? By how many gallons? Round to the nearest hundredth, if necessary FILL IN YOUR NAMC

Explanation / Answer

Ideal usage with no wind, economy will be = (18 + 26)/2 = 22 miles per gallon

gallons each way for ideal trip = 1287/22 = 58.5

total gallons used = 58.5*2 = 117 gallons

In windy conditions fuel usage = 1287/26 + 1287/18

in windy conditions = 49.5 + 71.5 = 121 gallons

so windy conditions use more gallons, by 4

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