The number of visitors to the park in 2023 is ___ thousand.

Question

The polynomial -7.5x^2 + 113x + 2164 models the yearly number of visitors (in thousands) x years after 2007 to park. Use the polynomial to estimate the number of visitors to the park in 2023.

The number of visitors to the park in 2023 is ___ thousand.

Answer 1

2023-2007 = 16

 

x=16

 

-7.5(16)^2 + 113(16) +2164 = 2,052

 

The number of visitors to the park in 2023 is 2,052,000. (2,052 thousand)

Answer 2

x = 0   corresponds to 2007

 

x = 16   corresponds to 2023

 

 

Evaluate the polynomial at x=16

 

(-7.5)(16)² + 113(16) + 2164 = 2052

 

Divide this number by 1000 to get 2.05

 

 

In 2023, the number of visitors is 2.05 thousands