Question

One day suke ordered two hot dogs and three orders of fries at the local diner (suke is an unusually hearty eater). the next day she ordered three hot dogs and two orders of fries. assuming that her rather voracious tastes and preferences did not change from day to day, what must have happened?

Answer 1

The equation that reveals the dimensions that will create the maximum area of the prop section is A = -(x - 20)(40 - x). The dimensions that will create the maximum area are a width of 20 feet and a length of 20 feet.

Step-by-step explanation:

The equation that reveals the dimensions that will create the maximum area of the prop section is A = -(x - 20)(40 - x).

To find the dimensions that will create the maximum area, we need to maximize the equation A = -(x - 20)(40 - x).

We can do this by finding the x-value that corresponds to the maximum point on the graph of this equation. We can use a graphing calculator or algebraic methods such as completing the square or finding the vertex of a quadratic equation to find that the maximum area occurs when x = 20. Therefore, the dimensions that will create the maximum area of the prop section are a width of 20 feet and a length of (40 - 20) = 20 feet.