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 = 0.00989x^3 - 0.0000872x^2 + 1.192x + 0.403
B. y = -0.0000872x^3 + 0.00989x^2 - 0.403x - 1.192
C. y = -0.0000872x^3 - 0.00989x^2 - 0.403x + 1.192
D. y = 0.0000872x^3 - 0.00989x^2 + 0.403x + 1.192

Answer 1

did u google it?

Answer 2

yes i didn't find anything.

Answer 3

daam let me see what i can do.

Answer 4

@amistre64

Answer 5

lol, and thats what you could do :)

Answer 6

we are looking for a cubic eh; so 3 equations in 3 unknowns; or ...

we can define a general equation to match the given inputs

Answer 7

2, 1.959
24, 6.373
46, 7.29
82, 15.817

prolly simplest to setup a matrix and rref it

rref{{2^3,2^2,2,1,1.959},{24^3,24^2,24,1,6.373},{46^3,46^2,46,1,7.29},{82^3,82^2,82,1,15.817}}

Answer 8

http://www.wolframalpha.com/input/?i=rref%7B%7B2%5E3%2C2%5E2%2C2%2C1%2C1.959%7D%2C%7B24%5E3%2C24%5E2%2C24%2C1%2C6.373%7D%2C%7B46%5E3%2C46%5E2%2C46%2C1%2C7.29%7D%2C%7B82%5E3%2C82%5E2%2C82%2C1%2C15.817%7D%7D

that gives you your coeefs

Answer 9

D looks the best with that

Answer 10

otherwise, if you had a calculator, just plug in x=2 and see which one comes up to about 2