Answer:
Explanation:
Here, we want to get the value of sine S
The sine of an angle is the ratio of the opposite side to the hypotenuse side
The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10
The opposite is the side that faces the angle which is 6
We have the sine as:
Given the first term at t₀ is 6 and the second term at t₃ is 32, let's take rabbit population as a function of time to be:
y = abˣ
where y is the population at time x and a the initial population at t₀
32 = 6b³
b = 1.75
Now we replace b in the population function:
y = 6(1.75)ˣ regression for the rabbit population as a function of time x.
The exponential function in terms of base is usually expressed as:
A = A₀e^kt
Hence, the regression equation in terms of base e is:
We substitute en last function, y - value with any number higher than 10,000 to estimate the time for the rabbits to exceed 10,000.
Hence, it takes approximately 13.3 months for the population to exceed 10000
