Question

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?

Answer 1

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:

`y=6*7=42`

So the rabbit will eat 42 carrots.