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The function is a cube root function
The function end behavior is:
The equation of the function is given as:
To determine the end behavior, we plot the graph of the function f(x).
From the attached graph of the function, we can see that:
As x approaches infinity, the function f(x) approaches infinity, and vice versa
Hence, the function end behavior is:
Read more about function end behavior at:
Answer:
a)
b) The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) The estimated population of Pakistan in 2027 will be of 239 439 million people.
Step-by-step explanation:
Linear function:
In this question, the linear function for the Population in Pakistan in t years after 1972 is given by the following equation:
In which P(t) is given in millions of people.
In which m is the slope, that is, the average number by which the population changes each year, and P(0) is the population in 1972.
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
In 1972, the population was of 65.309 million. This means that .
So
In 2017, the population was 207.774 million.
2017 - 1972 = 45
This means that . So
So
b) Interpret the slope and P intercept
Following the explanation before item a:
The slope of 3166 means that each year, the population increases, on average, by 3166 million people.
The P-intercept of 65309 means that the population of Pakistan in 1972 was of 65309 million people.
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
2027 - 1972 = 55
So this is
The estimated population of Pakistan in 2027 will be of 239 439 million people.