Question

select the correct answer. 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

Explanation:

Step1: Calculate distance on map

Use distance formula $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1 = 1,y_1 = 17,x_2 = 12,y_2 = 10$. So $d=\sqrt{(12 - 1)^2+(10 - 17)^2}=\sqrt{11^2+( - 7)^2}=\sqrt{121 + 49}=\sqrt{170}\approx13$.

Step2: Convert to real - world distance

Since 1 unit represents 100 miles, real - world distance is $13\times100 = 1300$ miles, nearest to 1304 miles.

Answer:

B. 1,304 miles