5. Loren creates a graph to show his distance from home on a school day from time he wakes up to the time he goes to sleep.
a. Approximately how long does it take Loren to get ready in the morning?
b. Between which interval is the function increasing?
c. Between which interval is the function constant? What does this mean in the context of the situation?
a. To determine how long it takes Loren to get ready in the morning, we need to look at the graph and find the interval between the time he wakes up and the time he leaves the house. This interval should represent the time it takes him to get ready.
b. The function is increasing between the interval of the time Loren wakes up and the time he leaves the house. This means that as time progresses, Loren is getting further away from home.
c. The function is constant between the interval of the time Loren leaves the house and the time he returns home. This means that Loren's distance from home stays the same during this period, indicating that he has reached his destination and is not moving any further away or closer to home.