Question

Help please ASAP!!

Find the average rate of change of rainfall between years 3 and 6. You must explain and show all of your work.

Answer 1

`\displaystyle 702`

Explanation:

we are given a exponential function

`\displaystyle f(x) = {3}^(x + 1) - 22`

where x represents the number and f(x) represents the amount

we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165

to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

`\displaystyle m = \frac{ f(x)_ {2} - f(x)_(1) }{ x_(2) - x_(1) }`

substitute what we have:

`\displaystyle m = ( 2165 - 59 )/(6 - 3 )`

simplify substitution:

`\displaystyle m = (2106 )/(3 )`

simplify division:

`\displaystyle m = 702`

hence, the average rate of change between 3 and 6 is 702