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

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(52788) (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 ?

==================

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 =  =  =  = .

Is everything clear to you so far ?

RELATED QUESTIONS
Last night it started raining as Hibah was closing up the store where she works. By 3 am, (answered by ikleyn)

Last night it started raining as Hibah was closing up the store where she works. By 3 am, (answered by ikleyn)

A Norman window is in the shape of a rectangle surmounted by a semicircle, as shown in... (answered by ankor@dixie-net.com)

The surface area S and volume V for a can with a top and a bottom are given... (answered by Alan3354)

The area of a large puddle is evaporating at the rate 25% each hour. At 12:00 noon the... (answered by josmiceli)

A rectangle is inscribed in a circle of radius R/3. Express the perimeter of the... (answered by ankor@dixie-net.com)

I am struggling to understand how to work this problem. It is a function word problem for (answered by greenestamps,solver91311)

a cylinder can is to be made up from steel so that its surface area is 100 sq in. express (answered by josgarithmetic)

Find the radius as a function of volume, and use this to get surface area as a... (answered by Alan3354)