Distance from Home After Jogging 3 Miles West and 4 Miles North

The correct answer is C 5 miles.

To find out how far Jimmy is from home after running, we can use the Pythagorean theorem.

1. He ran 3 miles west and then 4 miles north. We can think of these two paths as the two legs of a right triangle.
2. The formula for the Pythagorean theorem is: ( a^2 + b^2 = c^2 ), where ( c ) is the hypotenuse (the straight-line distance from home).
3. Here, ( a = 3 ) miles and ( b = 4 ) miles.
4. So, we calculate: ( 3^2 + 4^2 = c^2 ) which gives ( 9 + 16 = c^2 ), or ( 25 = c^2 ).
5. Taking the square root of both sides, we find that ( c = 5 ) miles.

Therefore, Jimmy is 5 miles away from home.