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.

2 + 3.50 + .5m + .30(.1m) = 15

Solve for m.

so 6.03

To calculate the number of miles you can ride for $15, we need to consider the base fare, additional mileage charges, and the tip.

Let's start with the base fare:
- The first 1/2 mile costs $3.50.

Next, we need to calculate the additional mileage charges:
- Each additional 0.1 mile costs $0.30.

To find the number of miles covered by a specific amount, we'll follow these steps:

1. Subtract the base fare ($3.50) and the tip ($2) from the total budget ($15).
$15 - $3.50 - $2 = $9.50

2. Calculate the number of 0.1 mile increments that can be covered using the remaining amount ($9.50).
$9.50 / $0.30 = 31.67

3. Convert the 0.1 mile increments to actual miles.
31.67 * 0.1 = 3.17 miles

Therefore, for $15, you can ride approximately 3.17 miles.