Answer:
-4
Step-by-step explanation:
Rate of Changes:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Pick two values of x and y from the given table:
- I pick (1,5) and (-1,13).
- I define (1,5) be (x2,y2) and (-1,13) be (x1,y1)
Therefore:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{5-13}{1-(-1)}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{1+1}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{2}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=-4}[/tex]
Therefore, rate of change is -4
