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

Answer:

$\displaystyle 702$

Step-by-step 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:

$\displaystyle m = \frac{ 2165 - 59 }{6 - 3 }$

simplify substitution:

$\displaystyle m = \frac{2106 }{3 }$

simplify division:

$\displaystyle m = 702$

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