Answer:
![\displaystyle 702](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20702)
Step-by-step explanation:
we are given a exponential function
![\displaystyle f(x) = {3}^{x + 1} - 22](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20f%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%20%2B%201%7D%20%20-%2022)
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} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B%20f%28x%29_%20%7B2%7D%20-%20%20f%28x%29_%7B1%7D%20%7D%7B%20x_%7B2%7D%20-%20%20x_%7B1%7D%20%7D%20)
substitute what we have:
![\displaystyle m = \frac{ 2165 - 59 }{6 - 3 }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B%202165%20-%20%2059%20%7D%7B6%20-%203%20%7D%20)
simplify substitution:
![\displaystyle m = \frac{2106 }{3 }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B2106%20%7D%7B3%20%7D%20)
simplify division:
![\displaystyle m = 702](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20702)
hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
The answer is c or the third option. If we start at one we get (4(1)-9)=-5, then we can do 2 and we get (4(2)-9)=-1. Lets do 3 (4(3)-9)=3. Now 4 (4(4)-9)=7. Now 5 and our last one (4(5)-9)=11. Now notice we get -5+-1+3+7+11.
Answer:
180
Step-by-step explanation:
4 times 20 is 80, and 4 times 5 is 100, so add those together and that's the total number of coins