Question

The number of U.S. travelers to other countries during the period from 1990 through 2009 can be modeled by the polynomial function:

P(x) = -0.00660x^3 + 0.1077x^2 + 1.216x + 47.35

where x=0 represents 1990, x=1 represents 1991, and so on and P(x) is in millions. Use this function to approximate the number of US travelers to other countries in each given year.

1. In​ 1990, the number of U.S. travelers to other countries was approximately - ____ Million

2. In​ 2000, the number of U.S. travelers to other countries was approximately - ____ Million

3. In​ 2009, the number of U.S. travelers to other countries was approximately - ____ Million

Answer 1

Answer :

The number of U.S. travelers to other countries during the period from 1990 through 2009 can be modeled by the polynomial function:

P(x) = -0.00660x³ + 0.1077x² + 1.216x + 47.35

where x=0 represents 1990, x=1 represents 1991, and so on and P(x) is in millions.

1) In​ 1990, that is when x = 0 we have P(0) = 47.35

Therefore, in 1990 the number of U.S. travelers to other countries was approximately 47.35 millions

2) In​ 2000, that is when x = 10 we have P(10) = -0.00660(10)³ + 0.1077(10)² + 1.216(10) + 47.35 = 63.68

Therefore , in 2000 the number of U.S. travelers to other countries was approximately 63.68 millions.

3) In​ 2009, that is when x = 19 we have P(19) = -0.00660(19)³ + 0.1077(19)² + 1.216(19) + 47.35 = 64.0643

Therefore , in 2009 the number of U.S. travelers to other countries was approximately 64.0643 millions.