Question

Option 1: You can take a broomstick to Hogwarts but there is a $75 flat fee plus it costs $2 per mile.

Option 2: The storeowner has a potion you can take that will turn you into an owl so you can fly there, but it costs $4000 and only lasts for 3900 miles, and then you would have to take the Hogwarts express the rest of the way for $1 per mile. After how many miles is the cost the same?

Answer 1

To find the point at which the cost is the same for both options, set up an equation with the costs of each option and solve for x (number of miles). The cost is the same after 6900 miles.

Step-by-step explanation:

To find the number of miles at which the cost is the same, we need to set up an equation comparing the costs of the two options. Let's denote the number of miles as x.

For Option 1: cost = $75 + $2 * x.

For Option 2: cost = $4000 + $1 * (x - 3900).

Setting the costs equal to each other, we have: $75 + $2 * x = $4000 + $1 * (x - 3900).

Simplifying the equation, we get: x = 6900 miles.

Therefore, the cost is the same after 6900 miles.