Question

The polynomial-7.5x^2 + 103 + 2142 models the yearly number of visitors (in thousands) x years after 2007 to a park. Use this polynomial to estimate the number of visitors to the park in 2021.

Answer 1

In that year approximately 2114 thousand people visited the park.

Explanation:

Since the expression
`y(x) = -7.5*x^2 + 103*x + 2142` models the number of visitors in the park, where x represents the number of years after 2007 and 2021 is 14 years after that, then we need to find "y" for that as shown below.

`y(14) = -7.5*(14)^2 + 103*14 + 2142\\y(14) = -7.5*196 + 1442 + 2142\\y(14) = -1470 + 3584\\y(14) = 2114`

In that year approximately 2114 thousand people visited the park.