Question

The scatter plot below shows the relationship between the leaf length (x) and leaf width f(x), in mm, of some leaves of a tree: ordered pairs 11, 0.5 and 12, 1 and 13, 1.5 and 14, 2 and 15, 2.5 and 16, 3 and 17, 3.5 and 18, 4 and 19, 4.5 and 20, 5 and 21, 5.5 and 22, 6 Which of the following functions is best represented by the scatter plot?

Answer 1

The function for this scatter plot would be: y = 0.5x - 5

If you plot the points, you will see that they are in a straight line. Therefore, we just need to find the slope and the y-intercept.

The slope is 0.5 because the points are increasing by 0.5 each time. Working backwards, you can determine that they y-intercept is -5.

Our equation is: y = 0.5x - 5