Bob operates hot air balloon rides for tourists at the beach. the hot air balloon rises, on average, at 100 feet per
minute. at sea level, the atmospheric pressure, measured in inches of mercury, is 29.9 inhg. using a barometric
meter, bob notices that the pressure decreases by 0.5 inhg for each 500 feet the balloon rises.
a. write a function that represents the relationship between the height of the hot air balloon and the time spent
to reach that height.
b. write a function that represents the relationship between the height of the hot air balloon and the
atmospheric pressure being applied to the balloon.
c. write a function that could be used to determine the pressure on the hot air balloon based on the time it
spends rising.
d. determine an appropriate domain and range for part (c).
e. what is the reading on the barometer 10 minutes after the hot air balloon has left the ground?