Question 1173656: A national census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four national census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the population was 65.309 million and as per the census data of 2017 the population was 207.774 million;
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
b) Interpret the slope and P intercept
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
Found 2 solutions by Boreal, MOHSIN001:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! make them ordered pairs; years will be t, pop will be y.
Let 1972=0
so (0, 65.309) is one ordered pair
and (45, 207.774) is other ordered pair
the slope is 142.465/45 or 3.1659
point slope formula for the equation y-y1=m(t-t1), m slope and (t1, y1) point
y-65.309=3.1659t
y=3.1659t+65.309 units millions of people
the y-intercept is 65.309 millions
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in 2027, x will be 55. It will also be 10 years later with slope 3.1659, so there will be 31.659 million more people than 2017 or 239.433 million people.
Answer by MOHSIN001(3)  (Show Source):
You can put this solution on YOUR website! A national census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four national census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the population was 65.309 million and as per the census data of 2017 the population was 207.774 million;
a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
b) Interpret the slope and P intercept
c) According to this function, what will be the estimated population of Pakistan in 2027 census?
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