The data in the table describe the relationship between altitude and air temperature.

a. Write a best-fit equation for f (x) that describes the relationship (altitude in meters, temperature in °C). Use at least three decimal places in your answer.
b. Use your results from 10a to write the equation for f-1(x).
c. Write a best-fit equation for g(x), describing (altitude in feet, temperature in °F).
d. Use your results from 10c to write an equation for g-1(x).
e. What would the temperature in °F be at the summit of Mount McKinley, which is 6194 m high?
f. Write a composition of functions that would also provide the answer for 10e.
(You will use f (x) or its inverse, f-1(x), from Exercise 9b.)

Transcribed Image Text:

Feet Meters F | ℉ ℃ oc 1.0003005613 5 5,000 1,500 41 10,000 3,000 23 5 20,000 6,00015 15 - 26 30,000 9,00047 44 36,087 10,826 9-56 15,000 4.500