Answer:
The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>
Step-by-step explanation:
Given function representing inches of rainfall:

To find the average rate of change between the 2nd year and the 6th year.
Solution:
The average rate of change between interval
is given as :

For the given function we need to find the average rate of change between 2nd year and 6th year. ![[2,6]](https://tex.z-dn.net/?f=%5B2%2C6%5D)
So, we have:


Thus, average rate of change will be:

⇒ 
⇒ 
⇒ 
Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches
The answer will be in the picture
You wanna find a common denominator so put the problem like this
3 1/3.< You wanna take 3 (denominator)
And times it
By 5 then you wanna take the 5. - 2 2/5.< (deniminator) and times it by 3.
____ Your common denominator is 15
now it will look like this
3 1/15
-2 2/15
———-
Now subtract. You will need to borrow 1 from 3 since you cant subtract 2 by 1 so the 3 will become a 2 and the 1 will be come 11 and here you can subtract so this will be your answer.
2 11/15
-2 2/15
-———-
0 9/15
Thats your official answer 9/15 hope I helped :)
Answer:
Option B (1,10)
Step-by-step explanation:
we have

we know that
If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)
<u><em>Verify each case</em></u>
case A) (0,0)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case B) (1,10)
For x=1
Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is on the graph of f(x)
case C) (0,10)
For x=0

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)
case D) (10,1)
For x=10

Compare the value of f(x) with the y-coordinate of the ordered pair

therefore
The ordered pair is not on the graph of f(x)