Question

The taxi fare in Gotham City is $2.40 for the first 1/2 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10? (An explanation would be helpful!)

Answer 1

3.3 miles should be the answer
10 = 2.40 + .2x - take 2.4 from both sides
7.6 = .2x - take 2 from 7.6 for the tip
5.6 = .2x - divide both sides by .2
28 = x
this means that you can pay the taxi drives an additional 28 times with the .20 cents fee and still have 2 dollars left over
now multiply 28 by .1 miles which is 2.8 miles
add 2.8 miles to .5 miles which equals 3.3 miles

Answer 2

I can ride 3.3 miles in $10.

Explanation:

Let i can ride x miles in $10.

So for first 0.5 miles I have paid = $2.4

The for remaining ride of (x - 0.5) payment done = $
`(0.20)/(0.1)* (x-0.5)=2(x - 0.5)`

I gave the tip = $2

Total payment I have done for the ride = $10

So equation will be

2.4 + 2(x - 0.5) + 2 = 10

4.4 + 2x - 1 = 10

3.4 + 2x = 10

2x = 10 - 3.4

2x = 6.6

x =
`(6.6)/(2)=3.3`

Therefore, i can ride 3.3 miles in $10.