Answer:
[tex]y = \frac{3}{2}x +2[/tex]
Step-by-step explanation:
Required:
Write an equation to represent this  situation
Let x represents the number of weeks and y represents the growth.
When he planted it:
[tex](x_1,y_1) = (0,2)[/tex]
Two weeks later:
[tex](x_2,y_2) = (2,5)[/tex]
At 6 weeks:
[tex](x_3,y_3) = (6,11)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5-2}{2-0}[/tex]
[tex]m = \frac{3}{2}[/tex]
Then calculate the equation using:
[tex]y - y_3 = m(x - x_3)[/tex]
[tex]y - 11 = \frac{3}{2}(x - 6)[/tex]
[tex]y - 11 = \frac{3}{2}x - 9[/tex]
Solve for y
[tex]y = \frac{3}{2}x - 9+11[/tex]
[tex]y = \frac{3}{2}x +2[/tex]
