SOLUTION: Hello. Referred to me by Minka. The polynomial 0.0013x^3 - 0.075x^2 + 1.5x + 11 models natural gas consumption in trillions of cubic feet, where x=0 corresponds to 1960, x=1 to

Algebra ->  Human-and-algebraic-language -> SOLUTION: Hello. Referred to me by Minka. The polynomial 0.0013x^3 - 0.075x^2 + 1.5x + 11 models natural gas consumption in trillions of cubic feet, where x=0 corresponds to 1960, x=1 to       Log On


   



Question 460032: Hello. Referred to me by Minka.
The polynomial 0.0013x^3 - 0.075x^2 + 1.5x + 11 models natural gas consumption in trillions of cubic feet, where x=0 corresponds to 1960, x=1 to 1961, and so on.
In which year between 1970 and 1990 was natural gas consumption about 23.1 trillion cubic feet?
Truly greatful to whom replies.
Samantha

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
0.0013x%5E3+-+0.075x%5E2+%2B+1.5x+%2B+11=23.1

0.0013x%5E3+-+0.075x%5E2+%2B+1.5x+=23.1-11
0.0013x%5E3+-+0.075x%5E2+%2B+1.5x+=12.1
0.0013x%5E3+-+0.075x%5E2+%2B+1.5x+-12.1=0
let's see the graph first:


from the graph you see that only x=29 is a real solution that might work
let's check it:
0.0013x%5E3+-+0.075x%5E2+%2B+1.5x+%2B+11=23.1
0.0013%2829%29%5E3+-+0.075%2829%29%5E2+%2B+1.5%2A29+%2B+11=23.1
0.0013%2824389%29+-+0.075%28841%29+%2B+1.5%2A29+%2B+11=23.1
31.7057+-63.075+%2B+43.5+%2B+11=23.1
86.2057+-63.075+=23.1
23.1307+=23.1

if x=0+corresponds to 1960 then x=29 corresponds to 1989