The linear equation of the tangent at point A is given by:

<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, to find the slope, we need to find the derivative at (4,3), using implicit differentiation. Hence:



Then:

We use point (4,3) to find b, hence:



Hence, the equation is:

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By the trend that is being given above, the population of New Jersey will only be 99.88% of the population from the previous year. It may be calculated through the following equation,
P(n) = P(0) x (1 - r)^n
Substituting the values from the given above,
P(n) = 79,318 x (0.9988)^(2015 - 2006)
= 78465.47
Thus, the population will approximately be 78,466.
A isn't true because 513 is at least divisible by 3, so it's not a prime number.
C isn't true because all whole numbers are either prime or composite.
D isn't true because it is neither a imaginary number, fraction, decimal, or unreal number, so therefore it must be a whole number.
B is true, because it is able to be divided by numbers other than one and itself.