paul and his neighbors decided to build a fence along his farm. after three hours, they have 15 meters of…

paul and his neighbors decided to build a fence along his farm. after three hours, they have 15 meters of fencing complete. they decide to take a 2 - hour break for lunch and then resume building the fence. after four more hours, they have a fence that is a total of 55 meters long. construct the graph that models the given situation.

paul and his neighbors decided to build a fence along his farm. after three hours, they have 15 meters of fencing complete. they decide to take a 2 - hour break for lunch and then resume building the fence. after four more hours, they have a fence that is a total of 55 meters long. construct the graph that models the given situation.

Answer

Explanation:

Step1: Identify key - time and length points

In the first 3 hours, length = 15 meters. So the point is (3, 15).

Step2: Consider the break

During the 2 - hour break (from hour 3 to hour 5), the length of the fence doesn't change. So we have a horizontal line segment from (3, 15) to (5, 15).

Step3: Calculate length after resuming

After 4 more hours (from hour 5 to hour 9), the total length is 55 meters. So in these 4 hours, they built 55 - 15=40 meters. The rate in these 4 hours is $\frac{40}{4} = 10$ meters per hour. We have a line segment from (5, 15) to (9, 55).

Step4: Plot the points and line - segments

Plot the points (3, 15), (5, 15), and (9, 55) on the graph and connect them with line - segments.

Answer:

Use the drawing tools to plot the points (3, 15), draw a horizontal line segment to (5, 15), and then draw a line segment from (5, 15) to (9, 55) on the given graph.