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2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour The typhoon slows down for an hour and started again at a constant rate of 20 mm per hour for the next two hours. Write a piecewise function that models the amount of rainfall as function of time.​

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information:

First three hours of typhoon: rate of Rainfall. = 25mm per hour

Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours

Piecewise function which models Rainfall ad a function of time

Amount of Rainfall as a function of time = f(t)

f(t) = 25t ; if t≤ 3

When typhoon slowed down for an hour :

f(t) = 0;

f(t) = 25*3 ; for t ∈ (3, 4)

Then Rainfall at a constant rate of 20mm for another 2 hours

f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)

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