Question

(1 point) Steadia is an island which experienced approximately linear population growth from 1950 to 2000. On the other hand, Randomian has experienced some turmoil more recently and did not experience linear nor near-linear growth 1950 1960 1970 1980 1990 2000 Year Pop. of country A 6.9 8.6 10.2 11.9 13.9 15.7 Pop. of country B 8.7 10.9 13.5 15.3 14.7 22.6 a) The table above gives the population of these two countries, in millions. Does country A or country B represent the population of Steadia? Enter just the letter of the country in the blank (A or B). A b) What is the approximate rate of change of the linear function? c) What does the rate of change in your answer to (b) represent in practical terms? (select all that apply) A. The percent the population grows each year. B. The number of years it takes for the population to increase by one million people. C. The amount (in millions) the population grows every 10 years. D. The total amount (in millions) the population grows from 1950 to 2000. E. The amount (in millions) the population grows each year F. None of the above. million people d) Estimate the population of Steadia in 1985

Answer 1

(b)

we can use linear regression calculator

30 20 0 6.9 10 10 8.6 10.2 20 30 11.9 40 13.9 10 10 15.7 50 -10 50 40 30 20

we get

m= 0.176, b 6.8

So, the approximate rate of change is 0.176........Answer

(c)

Since, rate change means changing population each year

so, option-E.........Answer

(d)

We have got

m= 0.176, b 6.8

so, we will get equation as

y=0.176x + 6.8

x=1985-1950=35

now, we can plug x=35

y0.176(35) +6.8

= 12.96)

So, the population in 1985 is 12.96 million................Answer