The diagram shows the area of an overhead projection on a sc

The diagram shows the area of an overhead projection on a screen as a function of the distance, x, between the screen and the projector. Which of the following families of functions best models this situation?

A. y=mx+b

B. y=ax^2+bx+c

C. y=k/mx+c

D. y=ab^nx

Solution

we can see from the graph at:

x =2 ;distance area is 4 units

x= 3; distance area is 3^2=9 units

x=4; distance area is 4^2 = 16 units

It seems to be square function, that means the area can be a function of square of the distance x.

So, option B equation is from the same family of equations