2. Year-Population in millions 1900-1650 1910-1750 1920-1860 1930-2070 1940-2300

Question

2. Year-Population in millions

1900-1650 1910-1750 1920-1860 1930-2070 1940-2300 1950-2560 1960-3040 1970-3710

1980-4450 1990-5280 2000-6080

years last century.

(a) Use the last two entries to estimate the slope of the function P(t) at t = 2000 (ie, the rate

of change or the polution with respect to time).

(b) Use your results in (a) to ?nd the linear approximation of P(t) at t = 2000.

(c) Use the linear approximation to estimate the population at t = 2012.

(d) Find the actual population last year and compare with your estimate in (c). Is your

estimate an under- or over-estimate?

Thanks I appreciate the help with understandint this.

Explanation / Answer

a). Slope = (6080-5280)/(10) = 80 per year

b).P(t) = 80*t + 5280

c).P(t = 2000) = 80*22 + 5280 = 7040

d).actual population = 5780

estimted value in c was over estimated

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