In earlier lessons you analyzed graphs that related time to
Last updated: 4/8/2024
In earlier lessons you analyzed graphs that related time to distance traveled position and investigated scenarios where people or objects were moving according to some prescribed pattern In some situations however the description of the position of a person or object may change abruptly at certain points in time Consider this example Suppose it takes you 20 minutes to walk to your favorite bakery which is one mile from your home Upon arriving you spend 30 minutes at the bakery having a snack and talking to a friend and then realize that you need to get home quickly in order to watch your favorite TV show You decide to jog home it takes you 10 minutes to jog from the bakery to your house If you walked to the bakery at a constant speed and ran home at a constant speed then the following table describes your distance from home as a function of time Time minutes 0 Distance from Home miles 20 50 60 0 1 0 1 0 0 Complete the following table that describes the behavior of the function for the specified time intervals Hint Time Interval minutes Description of Time Interval Distance from Home Increasing or Decreasing 0 20 walking to the bakery 20 50 50 60 Rate of Change of Distance from Home miles minute 0 05 at the bakery Increasing o neither decreasing Increasing 0 B o decreasing neither increasing jogging home from the bakery A line segment with uphill slant indicates the distance is increasing and a line segment with downhill slant indicates the distance is decreasing What is of this line segment