1. Slope as Rate of Change Assignment Part 2:<br />By Hyunna Yoo D<br />Wednesday, December 8, 2010<br />1476375179705SLOPE AS RATE OF CHANGE0SLOPE AS RATE OF CHANGE<br />60960029527500<br />56102252584455534025191770 = Object A = Object B00 = Object A = Object B4248150115570y = 13x + 100y = 13x + 1<br />5610225287655<br />-56007033020Distance (meters)00Distance (meters)1284605196215y = 7x - 30y = 7x - 3<br />2257425113030Time (seconds)00Time (seconds)<br />QUESTIONS<br />3) Solve for the slope of each line, showing the slope equation, the substitution, and the final answer.<br />Slope: <br />m = y2- y1x2- x1 <br />Object A: Object B:<br />(1,4) (2,11) (3,2) (6,3)<br />11-42-1 = 31 3-26-3 = 13<br />4) <br />a. Which object is traveling faster?<br />Out of the two, Object A is traveling faster.<br />b. At what time does the faster object pass the slower object?<br />At 0.6 seconds, the two objects meet at the intersection. <br />c. What is the speed of each object?<br /> Object A’s speed is 3 meters/ second and, Object B’s speed is 13 meters/ second.<br />d. How far has each object travelled after 5 seconds?<br />Object A:<br />y= 7x – 3<br />y = 7(5) -3<br />y = 35 -3<br />y = 32 meters<br />Object B :<br />y = 1/3x + 1<br />y = 1/3(5) + 1<br />y = 5/3 + 1<br />y = 8/3 meters<br />e. Where did the objects start relative to each other?<br />Object B started 4 meters ahead of Object A.<br />f. Are they moving in the same direction?<br />Yes, this is because the graph shows both Objects moving forward. Both are moving away from the starting line, increasing.<br />