On a map where each unit represents 100 miles, two airports are located at P(1,17) and Q(12,10). What is the distance, to the nearest whole mile, between the two airports?
A.
1,800 miles
B.
1,304 miles
C.
1,122 miles
D.
900 miles
1 answer
The distance formula, $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ can be used here. This means the distance is $\sqrt{(12-1)^2 + (10-17)^2} = \sqrt{11^2 + (-7)^2} = \sqrt{170} \approx \sqrt{169} = 13$. Therefore, the distance is $\boxed{\text{(B)}\ 1,304\ \text{miles}}$.