A satellite camera takes a rectangle-shaped picture. The smallest region that can be photographed is a 22-km by 66-km rectangle. As the camera zooms out, the length l and width w of the rectangle increase at a rate of 33 km/sec. How long does it take for the area A to be at least 5 times its original size?
(22+33s)(66+33s)=7260 1089s^2+2904s+1452=7260 minus 7260 from both sides 1089s^2+2904s-5808=0 factor or use quadratic formula (363)(x+4)(3x-4)=0 set each to zero x+4=0 x=-4, false, it is increasing, not decreasing