Solve the problem.The number of households in Country X with personal computers (PCs) and the total number of households in Country X are shown in the table below for various years.Households with Personal Computers (Millions)YearHouseholds with PCs Total Households200528.2195.5200930.4598.0201149.80100.5201559.82102.2201767.42114.0Let C(t) be the number (in millions) of households in Country X with PCs and H(t) be the total number (in millions) of households in Country X, both at t years since 2002. (i) Find equations of C and H.(ii) Estimate when fewer than 40% of households in Country X had PCs.
A. (i) C(t) = 3.67t + 9.63; H(t) = 4.30t + 52.37;
(ii) Before 2005, fewer than 40% of households in Country X had PCs.
B. (i) C(t) = 5.53t + 12.86; H(t) = 2.53t + 79.41;
(ii) Before 2012, fewer than 40% of households in Country X had PCs.
C. (i) C(t) = 4.81t + 16.01; H(t) = 0.99t + 68.42;
(ii) Before 2014, fewer than 40% of households in Country X had PCs.
D. (i) C(t) = 3.50t + 14.22; H(t) = 1.31t + 89.70;
(ii) Before 2009, fewer than 40% of households in Country X had PCs.
Answer: D
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