Question

Must show all your work to get full 12 points. If I can't follow your work mentally, points will be taken off. Please write clearly on the provided lines for input, output(1point), function(2 points), your work (7points). Calculators are only for the last part of your final answers. Alania wants to get to the bus stop as quickly as possible. The bus stop is across a grassy park, 1000 feet west and 400 feet north of her starting position. Alaina can walk west along the edge of the park on the side walk at a speed of 8ft/sec. She can also travel though the grass in the park; but only at a rate of 4 ft/sec. a) Compute the total time Alania takes to the bus stop when she walks diagonally across the park. Bus Answer: A b) What path gets her to the bus stop the fastest? Input: output : Bus Function: А

Answer 1

Bus Stop GRASSY PARK 400 ft N 1000 ft ALA ALIA through the a) from the above preture, it is clear that Alania has to walk in grass the she park if walks diagon- ally alrose the theorem According to the Py the gorean length of the diagonal is equal to (600)2 + (100012 √ 1160,000 park. the Idag 1077.03 ft Total time 1077.03 ft x 14 tt/sec = 269.25 Sec

b) at a rate of 8ft/sec If she walks along the edge of the park for 1000 ft and then walk through the grall at a hate 4 ftl see Tolal tm + hooft of 400 1000 8 225 rec = 125 + 100 B 400 ft 1000 H If she takes the path ACB as shown in above picture she will take lessen time to reach the Bus stop and Function: Total time taken funetion both the total dis l'ance 32 the speed. T= di + dz SI zid, and de the dis l'anus and s, and se correpending speeds an the