Draw a graph that pictures the following situation Identify

Draw a graph that pictures the following situation. Identify the independent and dependent variables. Determine the intervals on which the dependent variable is increasing, decreasing, or constant. A woman left her office at 8:30 to attend a meeting After walking for 4 minutes, she realized she forgot her notes and returned to get them She picked up her notes and resumed her walk to the meeting, arriving at 9 00 After 14 minutes, the meeting was over and the woman returned to her office Assume that the woman walks from the place of the meeting back to her office at the same speed with which she walks from her office to the place of the meeting after picking up her notes. The independent variable is the time t and the dependent variable is the distance D The independent variable is the distance D and the dependent variable is the time t Draw a graph that pictures the given situation Choose the correct graph below. The function is increasing on the interval(s) (Type your answer in interval notation Use a comma to separate answers as needed.) The function is decreasing on the interval(s) Q. (Type your answer in interval notation Use a comma to separate answers as needed.) The function is constant on the interval(s). (Type your answer in interval notation Use a comma to separate answers as needed.)

Solution

The independent variable here is the time and the dependent variable is the distance she covers.

It is given that after 4 minutes, she decides to head back for home. During this decision, she does not stop for any given time. Therefore, during this short period of time, the graph will not be horizontal but instead be a triangle.

This is described aptly in the 2nd graph from the left.