Answer:
D) 2
Step-by-step explanation:
Use the following slope formula:
<em>m </em>(slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (4 , 1)
(x₂ , y₂) = (1 , -5)
Plug in the corresponding numbers to the corresponding variables:
<em>m</em> = (-5 - 1)/(1 - 4)
Simplify. Remember to follow PEMDAS. First subtract, then divide:
<em>m</em> = (-5 - 1)/(1 - 4)
<em>m</em> = (-6)/(-3)
<em>m</em> = 2
D) 2 is your answer.
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This is a perfect example of exponential decay. In this case the growth factor should be represented by a fraction, and it is! This forest, starting out with apparently ( 800? ) pine trees, has a disease spreading, which kills 1 / 4th of each of the pine trees yearly. Therefore, the pine trees remaining should be 3 / 4.
Respectively 3 / 4 should be the growth factor, starting with 800 pine trees - the start value. This can be represented as such,
- where a = start value, b = growth factor, t = time ( <em>variable quantity</em> )
____
Thus, the function 
can model this problem. The forest after t years should have P( t ) number of pine trees remaining.
Answer:
No
Step-by-step explanation:
A function has 1 y-value for each x-value, but in this situation, the x-value of 1 has both a y-value of 2 and 19 making it not a function.
