SOLUTION: After a horrible storm, Kathy had to buy a new satellite dish. She calls a factory to place an order to have the dish shipped to her house right away. Vera works in that factory

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Question 847775: After a horrible storm, Kathy had to buy a new satellite dish. She calls a factory to place an order to have the dish shipped to her house right away.
Vera works in that factory. Her boss, Jared, tells Vera to build a rectangular crate just big enough to fit Kathy's satellite dish so that it can be shipped to her house. He informs her that she will be fired if the dish does not fit perfectly in the crate. The only information Jared gives Vera is the formula programmed into the machine that is used to cut and shape the dish. The function used by the dish making machine is as follows: y = -2/225x^2 + 50 (for output values greater than 0.)

If the machine is programmed in centimeters, what are the minimum interior dimensions of the crate that Vera needs to ship Kathy's dish?
**Any help would be greatly appreciated. I know this should form a parabola.... I just don't know how to approach this problem.**
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
The only information Jared gives Vera is the formula programmed into the machine that is used to cut and shape the dish. The function used by the dish making machine is as follows: y = -2/225x^2 + 50 (for output values greater than 0.)
If the machine is programmed in centimeters, what are the minimum interior dimensions of the crate that Vera needs to ship Kathy's dish?
:
If we graph this equation, it will be apparent how we can find the dimensions

The y intercept is 50, 50 cm is interior depth of the box
Find the x intercepts, they are +75 and -75, therefore the min length & width
would be 150 cm
:
150 by 150 by 50 cm is the min interior dimensions