At 7:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 28270 ft. and is descending at the rate of 550 ft/min. Airplane #2 has an elevation of 5270 ft. and is climbing at the rate of 700 ft/min.
(1) Let
t
represent the time in minutes since 7:00 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
)
=
(2) At what time will the two airplanes have the same elevation?
t
=