Julia began driving from Denver to Santa Fe, New Mexico. When she was 120 miles from Denver, she engaged her cruise control to travel at a constant speed. 90 minutes later, she was 223.5 miles from Denver. Let f be a function that gives Julia's distance in miles from Denver as a function of the time in minutes elapsed since she engaged the cruise control (CC).

a. Determine a rule for the function f. f(t)=

b. What does f(150) mean in this context?

A. The time elapsed since engaging CC when she was 150 miles from Denver
B. Multiplying her time since engaging CC by 150 to get distance from Denver
C. Multiplying her distance from Denver by 150 to get time since engaging CC
D. Her distance from Denver 150 minutes after engaging CC

c. What does f^-1(150) mean in this context?
A. 1 / (Time elapsed since engaging CC when she was 150 miles from Denver)
B. Her distance from Denver 150 minutes after engaging CC
C. The time elapsed since engaging CC when she was 150 miles from Denver
D. 1 / (Her distance from Denver 150 minutes after engaging CC)

d. Find the value of f^-1(150) and specify the units.

e. Find a rule for f-1(x). f^-1(x)=