Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in./min. and the vertical leg is decreasing at the rate of 6 in./min. At what rate is the hypotenuse changing when the horizontal leg is 12 in. and the vertical leg is 9 in? Draw a right triangle with legs labeled x and y and hypotenuse labeled 2, and assume each edge is a function of time.

a) 3 in/min
b) 4 in/min
c) 5 in/min
d) 6 in/min