K An open box with a square base is to be made from a square piece of cardboard 15 inches on a side by cutting out a square from each corner and turning up the sides. See the figure. Answers parts (a) through (e). (a) Express the volume V of the box as a function of the length x of the side of the square cut from each comer. V= (Simplify your answer.). (b) What is the volume if a 2-inch square is cut out? The volume is (Simplify your answer.) (c) What is the volume if a 6-inch square is cut out? The volume is (Simplify your answer.) (d) Graph V=V(x). For what value of x is V largest? Choose the correct graph below. O D. OA. B. n a a n 12 Xmin 0, Xmax 7.5, Xscl=0.5, Ymin=0, Ymax=275, Yscl-25 Xmin=0, Xmax 7.5, Xscl=0.5, Ymin=0, Ymax=275, Yscl=25 Xmin 0, Xmax 7.5, Xscl 0.5, Ymin 0, Ymax=275, Yscl=25 Xmin 0, Xmax=7.5, Xscl=0.5, Ymin=0, Ymax=130, Yscl For what value of x is V largest? (e) What is the largest volume? The largest volume is ☐

a. Clara cycles at a constant speed of 5 meters per second from west to east along a path. She passes a road sign during her ride. If t represents the mumber of seconds since Clara was 17 meters east of the road sign, write an expression to represent Clara's distance east of the road sign. Distance Clara is East of the road sign meters. Preview b. The cireumference of a circle is times as large as the eircle's radius. Preview c. The applet below shows two line segments whose lengths represent the values of A and B. In the applet, you can vary both A and B by dragging the purple X's at the ends of the line segments. Set the applet so that A is 22.5 units long and Bis 4.5 units long. 41.50 B-2.00 i. Line A is units Saloct an answer v than Line B. ii. Line B is units Select an answer v than Line A. iii. Line A is times as long a line B. Preview iv. Line B is times as long a line A. Preview