At 6:00 am, here's what we know about two airplanes: Airplane \#1 has an elevation of 75040 ft . and is descending at the rate of \( 800 \mathrm{ft} / \mathrm{min} \). Airplane \#2 has an elevation of 3020 ft . and is climbing at the rate of \( 500 \mathrm{ft} / \mathrm{min} \). (1) Let \( t \) represent the time in minutes since 6:00 am, and let \( E \) represent the elevation in feet. Write an equation for the elevation of each plane in terms of \( t \). plane \#1: \( E(t)= \) plane \#2: \( E(t)=\square \) (2) At what time will the two airplanes have the same elevation? \( t=\square \) minutes after 6:00 am (3) What is the elevation at that time? \( E=\square \)
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