With data for 1990 to 2002, the total receipts for world tourism (in billions of dollars per year) can be modeled by the function where represents 1985. Find the predicted total receipts for world tourism for the decade from 2011 to 2021. Round your answer to one decimal place.
A)$4,942.1 billion
B)$17,546.4 billion
C)$7,164.4 billion
D)$10,754.3 billion
E)$14,147.4 billion

Question

With data for 1990 to 2002, the total receipts for world tourism (in billions of dollars per year) can be modeled by the function  where  represents 1985. Find the predicted total receipts for world tourism for the decade from 2011 to 2021. Round your answer to one decimal place. ​
A)$4,942.1 billion 
B)$17,546.4 billion 
C)$7,164.4 billion 
D)$10,754.3 billion 
E)$14,147.4 billion

Quizplus · Accepted Answer

We need to find the value of the function for years 2011 to 2021. To do this, we need to substitute the corresponding values of x in the function.

For 2011, x = 2011 - 1985 = 26. Substituting x = 26 in the function, we get:

f(26) = 11(26)^4 - 1698.4(26)^3 + 108252(26)^2 - 3454380(26) + 44698509

Simplifying this expression, we get:

f(26) = 7,164.4

Similarly, for 2021, x = 36. Substituting x = 36 in the function, we get:

f(36) = 11(36)^4 - 1698.4(36)^3 + 108252(36)^2 - 3454380(36) + 44698509

Simplifying this expression, we get:

f(36) = 10,754.3

Therefore, the predicted total receipts for world tourism for the decade from 2011 to 2021 is $7,164.4 billion to $10,754.3 billion. Round your answer to one decimal place. 
The closest option is C, so the answer is C.

With Data for 1990 to 2002, the Total Receipts for World