can someone asnwer please ....thanks The graph below shows the population of whi

Question

can someone asnwer please ....thanks

The graph below shows the population of whites and minorities from 1970 to 2010. a. Compute the average growth rate for the population of minorities from 1970 to 2010. b. Compute the average growth rate for the population of whites from 1970 to 2010. c. Use extrapolation to predict the minority population for year 2020. d. Use extrapolation to predict the white population for the year 2020. e. Use extrapolation to predict the white and minority populations in 2050. f. Discuss the validity of your predictions.

Explanation / Answer

a. Avg. GR% of minroty from 1970 to 2010

(it is not mentioned whether they want CAGR or just GR%, so I will provide both.

CAGR is compounded annual growth rate)

(a)

Population (2010) = 110

Population (1970) = 30

rate of change = (110-30)/30 = 80/30 = 267%

CAGR = (110/30)^(1/40) - 1 = 3.3%

most likely CAGR is what they meant by avg. gr

(b)

Population (2010) = 195

Population (1970) = 170

rate of change = (195-170)/170 = 25/170 = 14.71%

CAGR = (195/170)^(1/40) - 1 = 3.43%

(c)

P(2020) = P(2010) * (1+CAGR)^10

P(2020) = 110 * (1+3.3%)^10

P(2020) of minortiy = 152.19

(d)

P(2020) = P(2010) * (1+CAGR)^10

P(2020) = 195 * (1+3.43%)^10

P(2020) of white = 273

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