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February 20th, 2012, 02:53 PM   #1
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Word Problem

The number of water hyacinth plants growing on a lake increases exponentially with time. On Tuesday the number of plants is 150. That Friday the number has risen to 240. If it takes 3400 plants to completely cover the lake, will the lake be completely covered by 20 days after Tuesday? Justify your answer.
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February 20th, 2012, 04:12 PM   #2
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Re: Word Problem

Hello, doctorbleachers!

Quote:
The number of water hyacinth plants growing on a lake increases exponentially with time.
On Tuesday the number of plants is 150.[color=beige] .[/color]That Friday the number has risen to 240.
If it takes 3400 plants to completely cover the lake,
[color=beige]. . [/color]will the lake be completely covered by 20 days after Tuesday?
Justify your answer.






[color=beige]. . . . . . . . [/color]






[color=beige]. . . . . . .[/color]
[color=beige]. . . . . . . .[/color]






[color=beige]. . [/color]

[color=beige]. . [/color]




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February 20th, 2012, 05:18 PM   #3
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For t = 20, P = 3442.6 approximately, which exceeds 3400.
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February 20th, 2012, 08:33 PM   #4
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Re: Word Problem

Sweet. Thanks!!!
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