Your favorite peer-to-peer ridehailing service has the following price structure for rides in your neighborhood:

• $\$ 1.25$ base fee
• $\$ 0.94$ per mile
• $\$ 0.32$ per minute
• $\$ 2.30$ service fee

Suppose you use sometimes use this service for your 7 mile trip to work in the morning. Let $P = f(L)$ represent the price of the ride, where $L$ is the length of time the ride takes (in minutes).

1. Calculate the price for a trip taking 7 minutes.
   Answer: dollars
2. What is the formula for $P = f(L)\text{?}$
   Answer: $P =$
3. From your experience, you know that if you leave at your usual time ($6{:}00$ a.m.), the ride takes about $6$ minutes. The ride time increases when you leave later in the morning, taking about $12$ minutes if you leave at $9{:}00$ a.m..
   Let $L = g(T)$ represent the length of time (in minutes) the trip takes you, where the input $T$ is the number of hours after $6{:}00$ a.m.
   Which expression represents the length of time the trip takes if you leave at $7{:}00\text{?}$
   Answer: ? f(1) g(1) f(7) g(7)
4. Use function notation (with $f$ and $g$) to write a composition representing the price of a ride to work if you leave at $8{:}30\text{.}$
   Answer: