Question

An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.

Answer 1

Let's assume, total number of miles traveled after the first 0.5 mile are x.

For 0.1 mile, the cost is $0.30

`0.1* 10 = 1 mile`

Hence, for 10 miles, cost is

`0.30* 10 = 3` dollars

Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)

He gave a total of $ 15, hence

`15=3.50+3x+2`

`9.5=3x`

`x=(95)/(30) =(19)/(6)` miles

Total miles traveled =
`(19)/(6) +(1)/(2)` =
`(11)/(3)` miles

Answer 2

`(11)/(3)` miles

Explanation:

Let the total miles traveled be x.

Now, for the first 0.5 miles total charge is = $3.50

Then, the remaining distance to be traveled
`=(x-0.5)` miles

For each additional 0.1 mile, the additional charge is $0.30

So, for
`(x-0.5)` miles, the total additional charge will be
`=(0.3)/(0.1)(x-0.5) =3(x-0.5)`

Then, including the $2 tip, the total fare will be
`=3.50+3(x-0.5)+2`

Now, given that total fare is $15, so,

`3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=(11)/(3)`miles