Question

7 look at the time - distance graph and list the following intervals
a. where the graph is constant: 5,8
b. where the graph is increasing: 0,5 8,12
c. where the graph is decreasing:
what ordered pair...

Explanation:

To solve the problem of identifying where the time - distance graph is decreasing, we analyze the graph's behavior:

Step 1: Understand the concept of a decreasing graph

A time - distance graph is decreasing when, as time (the independent variable, usually on the x - axis) increases, the distance (the dependent variable, usually on the y - axis) decreases. In terms of the interval on the x - axis (time axis), we look for the part of the graph where the line has a negative slope.

Step 2: Analyze the given graph

From the graph, we can see that after point E, as time increases, the distance starts to decrease. Looking at the x - axis (time) values, the interval where the graph is decreasing is from \(t = 14\) to \(t=20\) (assuming the x - axis values are as per the grid and the labels). So the interval where the graph is decreasing is \([14,20]\) (the exact values may vary slightly depending on the precise marking of the graph, but based on the general shape, after the flat part at the top (constant) from \(t = 10\) to \(t = 14\) (assuming Q is at \(t = 10\) and E is at \(t=14\)), the graph starts to decrease from \(t = 14\) onwards until it reaches the end of the relevant part of the graph, say \(t = 20\)).

Answer:

\([14,20]\) (the answer may need to be adjusted based on the exact coordinates of the graph, but this is the general interval where the graph shows a decreasing trend)