Math, asked by marillakim87, 7 months ago

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

Answered by ponnuchinnu86
135

Answer:

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Step-by-step explanation:

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Answered by amitnrw
5

Piece wise function R(t) in mm is

\begin{cases}25t \quad \quad 0<t\leq3\\75 \quad \quad 3 <t \leq4\\20t-5 \quad 4 < t \leq 6\end{cases}

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

\begin{cases}25t \quad \quad 0&lt;t\leq3\\75 \quad \quad 3 &lt;t \leq4\\20t-5 \quad 4 &lt; t \leq 6\end{cases}

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