Question

The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century.

YEAR: POUNDS CONSUMED:
1908 5.027
1923 8.768
1960 12.29
1981 15.485
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


y = –0.0000541x^3 + 0.00789x^2 – 0.452x – 1.888
y = –0.0000541x^3 – 0.00789x^2 – 0.452x + 1.888
y = 0.00789x^3 – 0.0000541x^2 + 1.888x + 0.452
y = 0.0000541x^3 – 0.00789x^2 + 0.452x + 1.888

Answer 1

and the question?

Answer 2

oh , sorry my fault . the question is:

Answer 3

What cubic model best fits this data?

Answer 4

goshhh , i hate questions like these ! lol

Answer 5

o wait, cubic models is something different... there is like a formula and stuff. Im not super familiar.

Answer 6

yeah , me either really . . . . lol

Answer 7

here, I looked it up and its long so give me a sec

Answer 8

ok (:

Answer 9

if you put you anwsers into ordered pairs, (5.027, 1908) ; (8.768, 1923) ; (12.29, 1960) ; (15.485, 1981).
You can drop them into this system of equations.

ax³ + bx² + cx + d = y
for each pair.
Got it?

Answer 10

so you will have

a(5.027)³ + b(5.027)² + c(5.027) + d = 1908
a(8.768)³ + b(8.768)² + c(8.768) + d = 1923
a(12.29)³ + b(12.29)² + c(12.29) + d = 1960
a(15.485)³ + b(15.485)² + c(15.485) + d = 1981

Answer 11

shew..

then you just solve for each variable. which can be easily done with a ti-83.Or done painstakingly hard on paper.

Answer 12

what about a ti-30 ?? lol

Answer 13

lol

Answer 14

ima plug it into my calc. If you feel like working that matrix then let me know

Answer 15

still typing

Answer 16

ok it is the last one