Question

The polynomial – 24x² + 333x – 139 represents the average number of visitors (in thousands) per day to a park area, where x represents the month of the year. Use this model to predict the average daily attendance at the park for the month of April. (Hint - April is the fourth month.) The average daily attendance at the park for the month of April thousand visitors.

Answer 1

We need to substitute x = 4 into the polynomial to predict the average daily attendance at the park for the month of April.

`\begin{gathered} f(x)=-24x^2+333x-139 \\ f(4)=-24\cdot4^2+333\cdot4-139 \\ f(4)=-24\cdot16+333\cdot4-139 \\ f(4)=-384+1332-139 \\ f(4)=809 \end{gathered}`

The average daily attendance at the park for the month of April is 809 thousand visitors.​