The average rate of change from day 2 to day 10 is -0.75 houses sold per day.
I found the missing graph and is shown below. From math, we know that for a nonlinear graph whose slope changes at each point, the average rate of change between any two points is given by the following equation:
[tex]ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} =\frac{Change \ in \ y}{Change \ in \ x}[/tex]
Which is actually the slope of the secant line that passes through these two points. From the problem, we need the average rate of change from day 2 to day 10, that is:
[tex]Point \ 1: \\ \\ (x_{1},f(x_{1}))=(2,8) \\ \\ \\ Point \ 2: \\ \\ (x_{2},f(x_{2}))=(10,2)[/tex]
So:
[tex]ARC=\frac{2-8}{10-2} \\ \\ \boxed{ARC=-\frac{3}{4} \ Houses \ sold \ Per \ day}[/tex]
Averate Rate of Change of a Quadratic Function:
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