SOLUTION: The Topology Taxi Company charges 2.20 for the first quarter of a mile and 0.55 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a functi

Algebra ->  Finance -> SOLUTION: The Topology Taxi Company charges 2.20 for the first quarter of a mile and 0.55 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a functi      Log On


   

Question 1099633: The Topology Taxi Company charges 2.20 for the first quarter of a mile and 0.55 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+.25=m
a=m-.25
a/.20=d
(m-.25)/.20=d
F=2.20+.55(m-.25)/.20
F=2.20+2.75*(m-.25)
F=2.20+2.75*m-2.75*.25
F=2.20-0.6875+2.75*m
F=1.5125+2.75*m is a a linear function which models the taxi fare
check on a 2 mile trip
F=1.5125+2.75*m
F=1.5125+2.75*2=7.0125
F=1.5125+5.50=7.0125
using the original info
2.20 for first .25 mile
remaining trip after .25 mile= 1.75 miles
how 1/5 mile in 1.75 miles
(1.75/.20)=8.75
8.75 at .55
8.75*.55=4.8125
2.20+4.8125=$7.0125
ok
$7.02 for a 2 mile ride since they never round down