Pete is atest pilot. He and hiscopilotfly planes on a direct path from Airport A to Airport B. To get from his house to the plane at Airport A, Pete drives north 30 miles. Then, after his flight, from Airport B he gets a ride back to his house, which is 42 miles east of Airport B. Pete wants to record his flight using a coordinate plane as a map and then find the distance of his flight as measured on the map. He decides to use the scale 1 unit = 6 miles for his map and put his house at (0, 0).

-What are the coordinates of Airport A?

-What is the distance on the map from Pete's house to Airport B?

-How can Pete convert real-life distances in miles to units on his map?

-Using the Pythagorean theorem,a2+b2=c2,which variable represents the length of the flight?

-Pete says he can find the distances on the map and use the Pythagorean theorem to find the distance of the flight on his map.

Pete's copilot says she can use the real-life distances and the Pythagorean theorem to find the real distance of the flight and then divide by 6 to find the distance on the map. Who is correct and why?