SOLUTION: I am terrible with word problems and would like it if I could get some help with this one. Thanks
If the polution in lake Erie were stopped suddenly it has been estimated that t
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If the polution in lake Erie were stopped suddenly it has been estimated that t
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Question 117420This question is from textbook Fundamentals of Algebra and Trig
: I am terrible with word problems and would like it if I could get some help with this one. Thanks
If the polution in lake Erie were stopped suddenly it has been estimated that the level y of pollutants would decrease according to the formula
y= y0e ^(-0.3821t) (0 being the base) where t is the time in years and y0 is the pollutant level at which further pollution ceased. How many years would it take to clear 50% of the pollution? This question is from textbook Fundamentals of Algebra and Trig
You can put this solution on YOUR website! If you started with amount of
pollution, and reduced it by 50%, you'd have left, so
divide both sides by
Find the ln (log to the base e) of both sides
The trick is to READ the right side correctly. What does it say,exactly?
It says "What log to the base e gives me ?
It's very obviously , so
Use a calculator to find the left side years years X months/year =
So far its
1 year 9.768 months months X days/month =
So, the answer is
1 year, 9 months, 23 days approximately
check answer this is close enough
