Question

The number of U.S. travelers to other countries during the period from 1990 through 2009 can be modeled by the polynomial function Upper P (x )equals negative 0.00680 x cubed plus 0.1018 x squared plus 1.458 x plus 48.09 where xequals0 represents​ 1990, xequals1 represents​ 1991, and so on and​ P(x) is in millions. Use this function to approximate the number of U.S. travelers to other countries in each given year. ​(a) 1990 ​(b) 2000 ​(c) 2009

Answer 1

Answer:

a) 48.09 million

b) 56.888 million

c) 31.085 million

Step-by-step explanation:

We are given the following in the question:

$P(x) = -0.00680 x^3 + 0.1018 x+1.458 x+48.09$

where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.

We have to approximate the number of U.S. travelers to other countries in each given year.

​(a) 1990

We put x = 0 in the given function.

$P(0) = -0.00680(0)^3 + 0.1018(0)+1.458(0)+48.09\\P(0) = 48.09$

Thus, there are 48.09 millions U.S. travelers in 1990.

​(b) 2000

We put x = 10 in the given function.

$P(10) = -0.00680(10)^3 + 0.1018(10)+1.458(10)+48.09\\P(10) = 56.888$

Thus, there are 56.888 millions U.S. travelers in 2000.

​(c) 2009

We put x = 19 in the given function.

$P(19) = -0.00680(19)^3 + 0.1018(19)+1.458(19)+48.09\\P(19) = 31.085$

Thus, there are 31.085 millions U.S. travelers in 2009.