We want to get the domain and range, graph, and analyze the given function.
We have the function:
w(t) = 45,000 - 100*t.
First, we want to get the domain and range of the function.
The domain is defined as the possible values of the input, in this case, is the time.
The smallest value of the time is t = 0, and the largest is the value of t such that the pool is empty, so we need to solve:
w(t) = 0 = 45,000 - 100*t
t = 45,000/100 = 450
Then the domain is D = [0, 450]
The range is the set of the possible outputs, the output represents the amount of water in the pool, it goes from full to empty, so the range is:
R = [0, 45,000]
The graph of the function can be seen below.
How much water is in the pool after 60 minutes?
Just replace t by 60 in the equation.
w(60) = 45,000 - 100*60 = 39,000
This is 39,000 gallons of water.
How many minutes will it take to empty the pool?
We already found that it takes 450 minutes.
If you want to learn more, you can read:
https://brainly.com/question/2263981
