Is Lyft a Uber?

Wall Street Journal headline seen on 4 January 2016: "GM Invests $500 Million in Lyft".

Lyft pricing in Tempe, Arizona, on 5 January 2016.

   $1.50 base charge
   $0.95 per mile
   $0.17 per minute
   $1.80 trust & service charge
   $4.00 minimum
   $5.00 cancel penalty

Exercises

1. Define a linear function M(d) that outputs the cost of using Lyft in Tempe AZ for d miles. Note: the beginning value is zero.
   ...answer... answer: M(d) = 0.95(d)

2. Define a linear function T(t) that outputs the cost of using Lyft in Tempe AZ for t minutes. Note: the beginning value is zero.
   ...answer... answer: T(t) = 0.17(t)

3. Define a linear function F(x) that outputs the fixed (i.e. constant) cost of using Lyft in Tempe AZ for x minutes (or x miles). Note: "base charge" and the "trust & service charge" are both fixed costs.
   ...answer... F(x) = 1.5 + 1.8 answer: F(99) = 3.3 # note: domain is all real numbers

4. The cost of using Lyft in Tempe AZ for a 5 mile trip that takes 9 minutes is $___________.
   ...answer... M(5) + T(9) + F(x) = 4.75 + 1.53 + 3.30 4.75 + 1.53 + 3.30 = 9.58 answer: $9.58

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 05 January 2016 (posted 08 January 2016)