The fuel economy is affected by engine speed as you say, but also load, as shown :
[FUEL CONSUMPTION] = [ENGINE SPEED] x [ENGINE LOAD]
obviously there is an adjustment factor there too. Also if you floor it, the engine injects too much fuel to protect the engine from overheating/detonating.
The more you push your foot down on the accelerator pedal, more air is let into the engine, and so, more fuel is also injected, so that the air/fuel mixture is balanced.
The best way to save fuel (when starting with fuel-efficient driving anyway), is to get up to speed using about 50-70% throttle, keeping the revs low, changing at 3000rpm or below, then cruising in 5th gear / top gear, with as little accelerator pedal as possible.
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Team GasMisers5 - #1 for first three rounds of the original GS Fuel Economy Challenge
Miles displaced by e-bike since 1 Jan 2008: 62.6 ( 0 kWh used)
Hypomiler
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