Question

Jeremiah uses block to the first five figures of a pattern (Shown in the attachments).


Part A.- complete the table below comparing the figure and numbers of blocks in each figure(shown in the attachment).


Part B- graph the relationship between he figure number and the number of blocks in the fire (shown in the attachment).


Part C- is the relationship between the figure number and the number of bocks in the figure a linear function? Explain your reasoning.

Answer 1

                                  Step-by-step explanation:

PART (A)

Completing the table below comparing the figure and numbers of blocks in each figure

As each square represents the one block. So, here is the complete table below comparing the figure and the number of blocks in each figure.

                             TABLE

Figure Number                      Number of Blocks

          1                                                     1

          2                                                    3

          3                                                    6

          4                                                    10

          5                                                   15

PART (B)

PLOTTING THE GRAPH TO DEMONSTRATE THE RELATIONSHIP BETWEEN THE FIGURE NUMBER AND THE NUMBER OF BLOCKS

As the points that need to be plotted are:

• (1, 1)
• (2, 3)
• (3, 6)
• (4, 10)
• (5, 15)

So, plotting these points would give us a graph that displays the relationship between the figure number and the number of blocks in the fire. Therefore, the graph is attached below. The graph shows a curved line.

PART (C)

DETERMINING THE RELATIONSHIP BETWEEN THE FIGURE NUMBER AND THE NUMBER OF BLOCKS

As it is clear from the graph, that relationship between the figure number and the number of blocks in the fire is NON LINEAR as the graph does not represent a straight line. The graph is showing a curve.

Therefore, the relationship between the figure number and the number of blocks in the fire is NON LINEAR and the graph represents the curved line as shown in attached figure.

Keywords: graph, curve

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