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The volume of a balloon is like that of a sphere. So we use 4/3x Pix radius3 .
Now plug in some numbers for V and see how radius changes. You will see if you go from a small volume to one a little larger, say .1 to .15, there is a pretty big change in the radius. Now try 1000 to 1000.15. You will see the change in the radius is much smaller.
That is because of the fact the radius is cubed. I can't draw it here, but have a look at the graph of x cubed and that may shed some light on it.

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Q: Why does the rate of change of the radius of a balloon slow down as the balloon gets bigger?
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