It takes a total of 6 hours to fill up an in ground backyard pool using a standard hose. A function can represent this situation to represent the amount of water in the pool until it is full as a function of the time the hose is running. Determine the domain for this function.

Question

anonymous · Answer

The domain is all integers from 0 to 6 hours. 

 The domain is all even integers from 0 to 6 hours. 

 The domain is all real numbers from 0 to 6 hours. 

 The domain is all positive real numbers.

btaylor · Answer

If you were to draw a graph of the amount of water in the pool at each time, it would look like this:
|dw:1394307349339:dw|
Since we know that we are going "until the pool is full" we are ending at 6 hours. The function is not just defined at x=1,2,3,4,5, and 6. It exists at all real numbers between 0 and 6. So C is the best choice.

anonymous · Answer

Oh, thanks soo much! :)

btaylor · Answer

anytime!