Answer:
y - 1 = -4(x - 4)
Step-by-step explanation:
The point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope.
Here, y - 1 = -4(x - 4). This is in point-slope form.
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
It is already simplified because there is nothing you can divide into both 18 and 25 that would result in whole numbers.
Answer:
9 mph
Step-by-step explanation:
-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

#Since t is equal in both, we can do away with t.
#We the divide the downstream equation by the upstream equation as:

Hence, the boat's speed in still water is 9 mph