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 for C(t) and H(t) to model the data.(ii) Use substitution or elimination to predict when all households in Country X will have PCs.(iii) Use the models to predict the percentage of households that will have PCs in 2032.

Question

A. (i) C(t) = 3.67t + 9.63; H(t) = 4.30t + 52.37;
(ii) In about 2031, all households in Country X will have PCs.
(iii) In 2032, about 79.0% of households will have PCs.
B. (i) C(t) = 3.50t + 14.22; H(t) = 1.31t + 89.70;
(ii) In about 2036, all households in Country X will have PCs.
(iii) In 2032, about 82.4% of households will have PCs.
C. (i) C(t) = 5.53t + 12.86; H(t) = 2.53t + 79.41;
(ii) In about 2042, all households in Country X will have PCs.
(iii) In 2032, about 85.7% of households will have PCs.
D. (i) C(t) = 4.81t + 16.01; H(t) = 0.99t + 68.42;
(ii) In about 2041, all households in Country X will have PCs.
(iii) In 2032, about 77.2% of households will have PCs.

Answer 1

Answer: B