In Math / Senior High School | 2025-07-03

3. Lara commutes to her office every day. Her route has two parts:
•
a.
Driving from home to the train station: The time it takes depends on traffic and distance, modeled by f(x) = 2x
+10, where x is the distance in kilometers, and f(x) is the time in minutes.
Train ride from the station to the office: The time for the train ride depends on the arrival time at the station,
modeled by g(x)=x+35, where x is the total travel time up to the station, and g(x) is the total commute time to the
office.
Write a composite function that gives the total commute time from home to the office in terms of x, the driving
distance.
b. If the distance to the train station is 8 km, how long is the full commute?

Asked by bbxemka