Question

Henri's potato vine is growing like crazy! When he planted it, it was 15 inches long. Two weekslater, it was 22 inches long. Four weeks after that, it was 36 inches long. Graph this data and write anequation to represent this situation.

Answer 1

Solution:

From the given question, let x represent the number of weeks, and y represent the length of the potato vine.

Thus, we have the table of values shown below:

From the above table, we have the graph below:

To determine the equation of this situation, we use the line equation formula expressed as

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Thus, the equation that represents this situation is

$\begin{gathered} y-15=\frac{22-15}{2-0}(x-0) \\ \Rightarrow y-15=\frac{7}{2}x \\ thus, \\ y=\frac{7}{2}x+15 \end{gathered}$