A rabbit eats a certain number of carrots every day. The proportional relationship is given in the graph. How many carrots will the rabbit eat in 7 days?

Question

asked May 2, 2023 161k views

1 Answer

Jorgecasar · Answer 1 · 2023-05-08T03:45:40+0000

As seen from the graph, the line passes through (0,0) and (1,6) so the equation of the line is given by:

$\begin{gathered} (y-y_1)/(x-x_1)=(y_2-y_1)/(x_2-x_1) \\ (y-0)/(x-0)=(6-0)/(1-0) \\ y=6x \end{gathered}$

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:

So the rabbit will eat 42 carrots.