The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
From the graph, it is obvious that the trend is decreasing from 100 on day 2, to 1 on day 10. So, the answer could either be A or C. The question would be how fast is it decreasing? To illustrate this, let's find the difference of consecutive data:
100 - 26 = 74
26 - 6 = 20
6 - 2=4
2-1=1
It must not be an additive rate because there is no common difference. Let's illustrate if the trend is in multiplicative rate:
100/26 = 3.85
26/6 = 4.33
6/2 = 3
2/1 = 2
More or less, they have a common divider. Hence, the decreasing rate is in multiplicative rate. The answer is A.
Answer:
1. y = -x + 3
2. y = x - 3
3. y = 3x + 1
4. y = -3x - 3
Step-by-step explanation:
Hello! sorry, I just saw your message on the question I answered before asking for help so here you go, these are the answers, hope this helps.
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Answer:
Step-by-step explanation:
it’s going to be (4,-2)
i’m pretty positive you would just subtract!
