Question

State whether the graph of each linear realation ship is a solid line or a set of unconnected points explain your reasoning

The relationship between the height of a tree and the time since the tree was planted

Answer 1

The correct answer is:

A solid line.

Explanation:

A connected, solid, graph is called a continuous graph. A disconnected graph, made of separate dots, is called a discrete graph.

A discrete graph shows us that there are no data values between the whole numbers on which the points are plotted. This generally means no decimal portions. However, when representing time, we can have a decimal portion of a year; this means the graph would have values between the whole numbers and would be continuous, or solid.

Answer 2

The graph of each linear relationship is a solid line.

Explanation:

The graph of the given linear relationship i.e.

The relationship between the height of a tree and the time since the tree was planted is:

A solid line since the height of a tree planted is continuous as the height of a tree increases continuously increases or may remain constant in some time interval and hence the graph is a solid line.