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.
Answers
Answer:
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Step-by-step explanation:
i hope it is helpful
Piece wise function R(t) in mm is
Given : 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.
To Find : Write a piecewise function that models the amount of rainfall as function of time.
Solution:
For the first three hours of typhoon, the rain fell at a constant rate of 25mm per hour.
R( t) = 25 t for 0 < t ≤ 3
for next one hour no typhoon
Rain in 3hrs = 25 * 3= 75
R(t) = 75 for 3 < t ≤ 4
started again at a constant rate of 20 mm per hour for the next two hours.
=> R(t) = 75 + 20(t-4) for 4 < t ≤ 6
=> R(t) = 20t - 5 for 4 < t ≤ 6
Piece wise function R(t) in mm is
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