Savannah's dog, Berta, loves to play in a little wading pool to cool off in the summer. Berta runs and jumps into the pool
with muddy feet and gets a lot of dirt in the pool. Savannah decides to empty the pool, clean out the mud, and then refill
the pool. The pool contains 72 gallons of water. She drains the pool until it is empty at a rate of 3 gallons per minute,
cleans the pool for 12 minutes, and then refills the pool at 3 gallons per minute.
1. Graph the number of gallons of water (G) in the pool over time (t).
2. Make piecewise function
3.domain and range?
4. What is the value of g(15)

The pool contains 72 gallons of water. She drains the pool until it is empty at a rate of 3 gallons per minute, hence the time it takes to drain the pool is of:

72/3 = 24.

Thus the first definition is given as follows:

G(t) = 72 - 3t, 0 ≤ t ≤ 24.

She cleans the pool for 12 minutes, hence:

G(t) = 0, 24 ≤ t ≤ 36.

After that, she refills the pool at a rate of 3 gallons per minute, until it has 72 gallons, hence:

G(t) = 3(t-36), 36 ≤ t ≤ 60.

The domain and range are given as follows:

Domain -> Input values -> x-axis -> [0,60].

Range -> Output values -> y-axis -> [0, 72].

15 minutes is in the first definition of the function, hence:

G(15) = 72 - 3(15) = 27 liters.

More can be learned about piece-wise functions at https://brainly.com/question/19358926

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