Question

Based on these first three pictures, can you help me fill in the blanks for this drop down menu?

Answer 1

Question 1:

- The equation given is a Quadratic Function

Question 2:

- The length of tomato patch is given by the x-values. The area is given by P

- Thus, to find the area, we simply substitute the value of the length (x) into the equation given.

- Therefore, we have:

`\begin{gathered} P=-0.5x^2+6x \\ x=8 \\ \\ P=-0.5(8)^2+6(8) \\ P=16 \end{gathered}`

- The area is 16square feet.

(We can confirm this by using the graph. When x = 8, y = 16 from the graph)

Question 3:

- The maximum value of the function is the value of y at the peak of the graph.

- The maximum possible area of the bell pepper is at y = 18. That is, 18 square feet.

- This area on the y-axis has a corresponding length , x = 6. That is, 6 feet