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>
Answer:
Step-by-step explanation:
y + 4 = 2(x - 2)
y + 4 = 2x - 4
y = 2x - 8
Given:
land area of Alaska: 1,700,000 square kilometers
land area of Florida: 0.10 of Alaska
To find the land area of Florida, we multiply its decimal to the land area of Alaska
1,700,000 sq. km * 0.10 = 170,000 square kilometers.
The land area of Florida is 170,000 square kilometers. It is equal to 0.10 or 10% of the land area of Alaska.<span />
Answer:
Option D
Step-by-step explanation:
We are given the two points of (5, 11) and (-5, -1).
Use the slope formula.
![m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Brise%7D%7Brun%7D%3D%5Cfrac%7B-1-11%7D%7B-5-5%7D%20%20%3D%5Cfrac%7B-12%7D%7B-10%7D%20%3D%5Cboxed%7B%5Cfrac%7B6%7D%7B5%7D%7D)
The correct option should be Option D.
Hope this helps you.
Answer:
$408.25
Step-by-step explanation:
9.50 times 40=380
9.50 times 1.5= 14.25
14.25 times 2=28.50
380+28.50=
$408.25