Question

(c) What isthe rate of change for each function? Show your work. (d) Which function has the greater rate of change?​

Answer 1

Answer:

Linear functions feature a constant rate of change. This is called the slope. The slope can be seen in the table, the equation, and the graph for a line.

Step-by-step explanation:

Answer 2

Function 1 (the table) has a slope of -2.  

This can be calculated using the slope formula, $m = \dfrac{y_2-y_1}{x_2-x_1}$.  Using (-1,3) and (-2,5):

    $m = \dfrac{5-3}{-2-(-1)} = \dfrac{2}{-1} = -2$

Function 2 (the graph) has a slope of about 3.5.  

It's hard to know for sure with the blurry picture.  If you go from (-1,0) to the y-intercept at about (0,3.5), that gives you a rise of 3.5 and a run of 1, so a slope of 3.5.

3.5 is a greater rate of change than -2.