SOLUTION: I need to write the area of a water puddle as a function of its radius using function notation. Each minute, the radius increases by 0.1cm. I have tried to model this with a quadra

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Question 1197622: I need to write the area of a water puddle as a function of its radius using function notation. Each minute, the radius increases by 0.1cm. I have tried to model this with a quadratic equation, but I am not sure whether "a" should be the time value or the radius value. I greatly appreciate any help you can offer!
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

You try to re-tell the problem in your own words, but some important details remain unclear.

Does this problem have a standard formulation in the textbook ?


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OK, I got a comment/(an info) from you describing your problem.

So, our puddle grows from zero, so the radius is  

      r = 0.1*t,  where the radius r is in centimeters and time t is in minutes.



The area of the puddle is the area of the circle

    area = pi%2Ar%5E2 = 3.14%2A%280.1t%29%5E2 = 3.14%2A0.01%2At%5E2 = 0.8314%2At%5E2.

Is everything clear to you so far ?