The population is modeled with an exponential equation, and using what we know about exponential equations we will see that:
- A) P(0) = 29,816,591
- B) the growth factor is 1.0128
- C) 1.28%
- D) P(17) = 37,013,551.9
How to identify the parts of the exponential equation?
Here we have the exponential equation:
P(t) = 29,816,591*(1.0128)^t
A) The population in 1990 will be given by P(0), this is:
P(0) = 29,816,591*(1.0128)^0 = 29,816,591
B) For an exponential:
A*(b)^x
We can rewrite it as:
A*(1 + r)^x
In this case, b is the growth factor, so in our function, the growth factor is 1.0128
C) Using the above notation, the percent increase by year is given by 100% times r, so first let's get the value of r.
r = b - 1 = 1.0128 - 1 = 0.0128
Then the percent increase is: 0.0128*100% = 1.28%
D) The year 2007 comes 17 years after 1990, so we need to evaluate the equation in t = 17, we will get:
P(17) = 29,816,591*(1.0128)^17 = 37,013,551.9
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
