A balloon is initially full of air, but then it springs a leak. Air leaks at a constant rate from the balloon. After a while the leak is patched and a pump is attached to the balloon. It is re-inflated to its original volume: Air is pumped at a constant rate that is larger than the rate of the leak. Let B denote the volume, in cubic inches, of air in the balloon after t minutes. Make a graph of B versus t from the time the balloon springs a leak until it is fully re-inflated.
What will be an ideal response?
Mathematics
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