Final answer:
To find out how far you can travel with $5, you can use the equation 0.20 * x = $5 - $1, where x represents the additional 1/6 miles. Solving this equation will give you the value of x. The total distance you can travel is 1 + (x * 1/6) miles.
Step-by-step explanation:
To find out how far you can travel with $5, we need to determine the number of additional 1/6 miles you can travel after the first mile. Let's assume x represents the additional 1/6 miles. The cost of the additional distance is $0.20 * x. We can set up an equation to solve for x: 0.20 * x = $5 - $1. Solving this equation gives us x = ($5 - $1) / 0.20 = 20.
This means you can travel an additional 20 * 1/6 miles. Therefore, the total distance you can travel is 1 + (20 * 1/6) miles. To simplify, we can convert 20 * 1/6 to 20/6 and add it to 1. This gives us a total distance of 1 + 20/6 = 3.33 miles.