Question 15 Answer and Explanation _ACT April 2014 Form 71H Math Section

Use the following information to answer questions 14-16.

A map of the locations of Marville, Sun Town, and Bright City is shown in the standard (x, y) coordinate plane below, where coordinates for x and y are given in miles . The coordinates of Marville and Bright City are given, and Sun Town is located along a straight line exactly halfway between Marville and Bright City. Highway H from Marville to Bright City is 390 miles long. Highway K from Sun Town to Bright City is 200 miles long.

15. The straight-line distance, in miles, from Marville to Bright City must be:

A. less than 140.

B. between 140 and 300.

C. between 300 and 390.

D. between 390 and 460.

E. more than 460.

Answer and Explanation

Your Answer is

Correct Answer is C

Explanation

As follows Figure, obtained according to the Pythagorean theorem.