Question

City cab charges a drop fee of $2.50 and $0.75 per mile. Blue Taxi charges drop fee of $2.00 and $1.00 per mile. How many miles would a rider need to travel for the Blue Taxi charge to be more than the City Cab charge?

Answer 1

Write each charging as an equation, just as follow:

City cab:

y = 2.50 + 0.75x

Blue taxi:

y = 2.00 + 1.00x

where x is the number of miles.

In order to determine the number of miles which makes Blue taxi charges more than City cab charges, use the following inequality and solve for x:

2.00 + 1.00x > 2.50 + 0.75x subtract 2.00 and 0.75x both sides

1.00x - 0.75x > 2.50 - 2.00 simplify

0.25x > 0.50 divide by 0.25 both sides

x > 0.50/0.25

x > 2

The previous result means that only for more than two miles, Blue taxi charge is greater than City cab charge.