Answer
The equation of the relationship between perimeter and number of sides added y=4x+6
The table and the graph of this relationship is in the screenshot below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/cb9623cf-4716-482c-a26a-055c27f7d974/result_image/1514838452.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015032Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=92252675780884503c5c977c36ecebbaa2055b84b01630933bc1bd6a77f6e113)
Work Step by Step
The equation is y=4x+6 because assuming 1 hexagon has a perimeter of 6 and 2 hexagons has perimeter of 10 and 3 hexagons has perimeter of 14 which shows that the perimeter of the hexagon increases by 4 when you add the an additional hexagon. Thus we can deduce that when we don't add a hexagon, the perimeter is 6 and then as you add the number of shapes the perimeter increases by 4 .
The graph is created using this relationship with perimeter as the y axis as it is affected by the number of shapes you add which is the x axis.
The table states that when 0 shapes, the perimeter is 6 and then when 1 side is added, the perimeter is 10.