I made a shape with toothpicks, each time I wanted to make a new square I added three toothpicks to the shape. Below is what I ended up with. I started with four and added three each time. How may toothpicks did I use after making my last shape, figure 6?
|
Figure # (X) |
# of toothpicks
(Y) |
|
1 |
4 |
|
2 |
7 |
| 3 |
10 |
| 4 |
13 |
| 5 | 16 |
| 6 |
19 |
The graph representing the relationship
Equation= Y= 3x + 1
The relationship between the Figure number and number of toothpicks is the equation above; Y= 3x + 1. I know this because I used the number of times the toothpicks went up which was three and then you times that by the figure number and then I got one less the number of toothpicks so you add one!
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