correct choice is b
step-by-step explanation:
when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function
the average rate of change from point
to point
can be calculated as
![\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.](/tex.php?f=\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.)
to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,
![\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.](/tex.php?f=\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.)
![The graph below shows the number of houses sold over x days. what is the average rate of change from](/tpl/images/02/04/dv33pMGQcvILKBj0.jpg)