The rain gauge after a week showed that there were ten inches of rain. every day the rain evaporated two inches but one more inch of rain was added. by what day was the rain gauge free of water?

It would take 10 days to completely empty the rain gauge.

Step-by-step explanation:

Initial reading of rain gauge = 10 inches

Every day rain evaporated by 2 inches but 1 more inch of rain was added.

In effect, only one inch of rain water evaporated that is everyday level decreased with 1 inch.

After the end of day 1 , the reading would show 9 inches and 8 inches at the end of day 2 and similarly reading decreases linearly.

Since the reading should decrease by 10 inches it would take 10 days to completely empty the rain gauge.

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step-by-step explanation:

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its a straight line parallel to the time axis