An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today

13 years.

Step-by-step explanation:

I don't understand the original equation you entered, so I'm going to use another one.

Where A = initial population

A₀ = current population

e = Euler's constant

k = rate of decrease

t = time in years

Let's start off with what we know.

Today there are 800 fish left:

A₀ = 800

There were 1800 fish 5 years ago:

t = -5

A = 1800

The equation now looks like

First we find the rate of decrease.

⇒

⇒

⇒=k

⇒ k = -0.1621

The question asks when it will drop below 100, so make it equal to 100.

⇒

⇒

⇒

⇒ = t = 12.821

To the nearest year this is 13.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

i dont have an answer

step-by-step explanation: