SOLUTION: Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel t

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel t      Log On


   

Question 629666: Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport?
Found 2 solutions by ewatrrr, lwsshak3:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Mario paid $44.25 in taxi fare from the hotel to the airport.  

The cab charged $2.25 for the first mile plus $3.50 for each additional mile.

Let x represent How many miles was it from the hotel to the airport

Question states***

  44.25+=+2.25+%2B+3.50%2A%28x-1%29

      42%2F3.50+%2B+1+=+x

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Mario paid $44.25 in taxi fare from the hotel to the airport. The cab charged $2.25 for the first mile plus $3.50 for each additional mile. How many miles was it from the hotel to the airport?
**
you can use the standard form of equation of a straight line to solve this problem:
y=mx+b, m=slope, b=y-intercept
For given problem:
let x=distance from hotel to airport
slope=$3.50/mi
y-intercept=$2.25
y=44.25
..
44.25=3.5x+2.25
3.5x=44.25-2.25=42
x=42/3.5=12
distance from hotel to airport=12 miles