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MariettaO [177]
3 years ago
6

The area of a square is a function of its perimeter. Graph the function on a separate sheet of grid paper . Explain wether the f

unction is linear and if the graph is increasing or decreasing .
How do i graph it ? and is the the function linear . Is the graph increasing or decreasing ? PLEASE HELP .
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

Parabola P^{2} = 16A

Non-linear function.

Increasing function.

Step-by-step explanation:

Let a be the side length of a square ,

Then, Perimeter of square (P) = 4a

So, a can be written as a = \frac{P}{4}

Area of square (A) = a^{2} .

So, A = \frac{P^{2} }{4^{2} }

        =  \frac{P^{2} }{16 }

P^{2} = 16A

It is the equation of parabola. (similar to y^{2} = 4ax)

It is a non - linear function as square of Perimeter is related to Area , not directly Perimeter.

Also, it is a increasing function since as A increases P increases.

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