Question

Question in the picture

Answer 1

Average rate of change =250

Explanation:

Formula to determine average rate of change of the function,

Average rate of change =
`(f(x_2)-f(x_1))/(x_2-x_1)`

Where
`x_1` and
`x_2` are the points representing number of years after year 2000.

Since
`x_1` = 5 and
`x_2=19`,

`f(x_2)=650`

And
`f(x_1)=300`

Now average rate of change =
`(650-300)/(19-5)`

=
`(350)/(14)`

= 250

Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.