As seen from the graph, the line passes through (0,0) and (1,6) so the equation of the line is given by:
[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1} \\ \frac{y-0}{x-0}=\frac{6-0}{1-0} \\ y=6x \end{gathered}[/tex]
Hence the equation of the line is y=6x where y is the number of carrots and x is the number of days.
To find carrots eaten in 7 days, substitute x=7 in the equation to get:
[tex]y=6\times7=42[/tex]
So the rabbit will eat 42 carrots.
