Question

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? -4/3 -3/4 6 8

Answer 1

Average rate of change =
`-(3)/(4)`

Explanation:

Average rate of change in houses sold is actually the slope between two points.

Lets say that the slope = m

Then m =
`(y1-y)/(x1-x)`

Here we have houses sold for
`2^(nd)` day
`=8` we can write it as
`=(x,y) =(2,8)` and houses sold for
`10^(th)` day
`=2` we can write it in coordinate form as tex](x_1,y_1)=(10,2)[/tex]

Plugging the values :

m =
`(y1-y)/(x1-x)` =
`(2-8)/(10-2)` =
`(-6)/(8)`

Reducing the fraction to its simplest form by dividing both numerator and denominator with 2.

=
`(-3)/(4)`

So the average rate of change in the selling of houses from day
`2` to day
`8` is
`(-3)/(4)`