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 Households199328.2195.5199730.4598.0199949.80100.5200359.82102.2200567.42114.0Let C be the number (in millions) of households in Country X with PCs and H be the total number (in millions) of households in Country X, both at t years since 1990. (i) Find equations for C(and H 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 2017.

Question

A. (i) C = 4.81t + 16.01; H = 0.99t + 68.42;
(ii) In about 2029, all households in Country X will have PCs.
(iii) In 2017, about 81.1% of households will have PCs.
B. (i) C = 3.50t + 14.22; H = 1.31t + 89.70;
(ii) In about 2024, all households in Country X will have PCs.
(iii) In 2017, about 86.9% of households will have PCs.
C. (i) C = 3.67t + 9.63; H = 4.30t + 52.37;
(ii) In about 2019, all households in Country X will have PCs.
(iii) In 2017, about 83.1% of households will have PCs.
D. (i) C = 5.53t + 12.86; H = 2.53t + 79.41;
(ii) In about 2030, all households in Country X will have PCs.
(iii) In 2017, about 90.6% of households will have PCs.

Answer 1

Answer: B