A cab company charges a flat fee boarding rate in addition to a per mile rate. Using your own experience or some internet research, write an equation that represents a cab company’s rate taking into account the initial flat boarding rate and the per mile rate. Identify the independent and the dependent variables and describe how they are related. What would you consider the domain and the range of the function to be? How much would it cost to go from your home to nearest grocery store in this cab? Would you suspect that it could be modeled by a linear, a quadratic function, or another type offunction?
c is cost in dollars, m is minutes
cost is the dependent variable, minutes is the independent variable
as minutes increases, cost increases at a rate of 2 dollars per minute
the domain can be [0,infinity) or something like [0,120] because realistically no one is gonna ride a cab forever, 2 hours seems like an appropriate maximum time
the range is [3,infinity) or [3,243] if we use 120 min as maximum time
if your grocery store is 10 minutes away it would cost 23 dollars