The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
A graph titled Distance Vs. Time is shown. The x axis is labeled Time in minutes and shows numbers 0, 1, 2, 3, 4, 5. The y axis is labeled Distance from Ocean Surface in meters. A straight line joins the points C at ordered pair 0,60, B at ordered pair 1, 100, A at ordered pair 2, 140, and the ordered pair 3, 180.
Part A: What is the slope of the graph between points A and B? And between points A and C? explain your reasoning (4 points)
Part B: What is the initial value and what does it represent? (6 points)
(MAKE IT SOUND LIKE A FIFTH GRADER AND ALSO MAKE IT LESS THAN 200 WORDS ALSO JUDGING BY HOW ITS WRITTEN TRY TO MAKE IT SOUND LIKE THE LESSON)
Part A: The slope of the graph between points A and B is 40 meters per minute. This means that for every minute that goes by, the shark goes down 40 meters. The slope between points A and C is 60 meters per minute. This means that for every minute that goes by, the shark goes down 60 meters. So, the shark goes down faster between points A and C compared to points A and B.
Part B: The initial value is 60 meters. This represents the distance from the surface of the ocean that the shark was at the beginning, which was at point C. It shows us where the shark started before going down deeper into the ocean. So, the initial value tells us how far from the surface the shark was when the time was 0 minutes.