Dale bought a map of his city it uses a scale of 1 inch = 8 miles dale house and school are 1 1/2 inches apart on the map how far apart would his house and school be on the map if the scale were 1 inch = 6 miles.

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

The answer is c you just have to factor it after adding the x^2