Question

The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let x = number of years since 1900, and y = pounds per person. What cubic model best fits this data?

Year Pounds Consumed
1902 1.959
1924 6.373
1946 7.29
1982 15.817

A. y = 0.00989x3 - 0.0000872x2 + 1.192x + 0.403

B. y = -0.0000872x3 + 0.00989x2 - 0.403x - 1.192

C. y = -0.0000872x3 - 0.00989x2 - 0.403x + 1.192

D. y = 0.0000872x3 - 0.00989x2 + 0.403x + 1.192

Answer 1

The cubic model that best fits this data is y = 0.0000872x^3 - 0.00989x^2 + 0.403x + 1.192