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Sholpan [36]
3 years ago
8

2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.

In the first three hours the rain fell at a constant rate of 25mm per

hour, hence:

A(t) = 25t     0 ≤ t ≤ 3

The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.

The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:

A(t)=\left \{ {{25t\   \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 3} \atop {75\ \   \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 6 \atop {75+20(t-4)\   \ for\ 4\ \leq\ t\ \leq\ 6}} } \right. \\\\\left

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I hope it helps! Have a great day!

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__

I personally prefer to rewrite the inequality so the comparison is to <em>zero</em>. That is done in the second attachment, which rewrites it to ...

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