Question

A taxi driver charges you $1.50 for the first mile and $.90 for each additional mile. How far could you go for $20.00 if you give the driver a $2.00 tip?

Answer 1

You can go 19.33 mile

Answer 2

You can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.

Explanation:

From the information provided, you can say that the total cost of the taxi is equal to the cost of the first mile plus the price for each additional mile for the number of additional miles, which can be expressed as:

c=1.50+0.90(x-1), where

c is the total cost

x is the number of miles

Now, if you want to determine how far you can go for $20 if you give the driver a $2.00 tip, first you have to subtract the tip from the amount you have:

20-2=18

Then, you know that you have $18 for the cost of the taxi and you can replace c with this value and solve for x to find the number of miles:

18=1.50+0.90(x-1)

18-1.50=0.90x-0.90

16.5+0.90=0.90x

17.4=0.90x

x=17.4/0.9

x=19.33

According to this, the answer is that you can go 19.33 miles for $20.00 if you give the driver a $2.00 tip.