Consider a vibrating string of length L = π that satisfies the wave equation 4∂2u = ∂2u, 00. ∂x2 ∂t2
Assume that the ends of the string are fixed, and that the string is set in motion with no initial velocity from the initial position
u(x, 0) = 12 sin 2x − 16 sin 5x + 24 sin 6x. Find the displacement u(x, t) of the string.

Alright, if the original scale was 1 inch = 8 miles, and Dale's house to his school are 1 1/2 inches apart, let's find the amount of miles.

Here's a fast way. 1 inch is 8 miles, and half of 8 equals 4 miles, which is 1/2 of an inch., 8 + 4 = 12 miles. 

So if his house and the school were 12 miles apart, and we we're using the 1 inch. = 6 miles scale, then it'd be 2 inches on the map. 

How?

If 1 inch. = 6 miles
x inches = 12 miles

12/6 = 2 

2 inches = x