Polynomial practice help!!!!

Question

The average retail price of gas in America from 1979 to 2008 can be modeled by the function

P (x) = 0.008x³ - 0.307x² + 4.38x + 25.72

Where P is the price of gas in cents per litre and x is the number of years after 1979

Determine the average price of gas in 2002.

a.) 69.8¢/L

b.) 71.7¢/L

c.) 70.4¢/L

d.) 68.8¢/L

Answer 1

I'm going to assume you made a typo entering the equation and that the second term should be squared instead of cubed so that:

P(x) = 0.008x³ - 0.307x² + 4.38x + 25.72

2002 - 1979 = 23

P(23) = 0.008(23)³ - 0.307(23)² + 4.38(23) + 25.72 = 61.393 cents/liter

Since this is not one of the choices, please double check your typing on the equation. Perhaps there is another error.