SOLUTION: A taxi driver charges a fare of $2.00 for the first quarter mile or less and $.75 for each additional quarter mile. If f represents the fare in $$, which of the following models th

Algebra ->  Equations -> SOLUTION: A taxi driver charges a fare of $2.00 for the first quarter mile or less and $.75 for each additional quarter mile. If f represents the fare in $$, which of the following models th      Log On


   

Question 472847: A taxi driver charges a fare of $2.00 for the first quarter mile or less and $.75 for each additional quarter mile. If f represents the fare in $$, which of the following models the fare in dollars for a ride that is m miles long, where m is a positive integer>
A) f=2.00 + .75(m-1)
B) f= 2.00 + .75(-1)
C) f= 2.00 + .75(4m-1)
D) f=2.00 + .75(4(m-1))
I'm confident that it is c or d, but I have to be able to explain why.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A taxi driver charges a fare of $2.00 for the first quarter mile or less and $.75 for each additional quarter mile. 

Letting m = the number of miles  and Computing the fare(f)

 Aditional charge will be .75 for 1/4mi OR .75*4 for one mile or .75*4m for m mi

 f = 2.00 + .75*(4m-1)    |First 1/4 mile taken are of by the 2.00 

for ex:  3 mi

 f = 2.00 + .75*11  (.75*11 would represent '11' of the  1/4th miles charges)