SOLUTION: 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

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Question 1184768: 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 20mm per hour for the next 2 hours. write a piecewise function that models the amount of rainfall as function of time
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
let y = the total amount of accumulated rainfall.
let x = the number of hours.

the piecewise function would be:

y = 25x for 0 <= x <= 3
y = 75 for 3 < x <= 4
y = 75 + 20x for 4 < x <= 6

the domain of the function is 0 <= x <= 6

when x is greater than 0 and less than or equal to 3, the rainfall is 25 mm per hour.

when x is greater than 3 and less than or equal to 4, the rainfall is 0 mm per hour in addition to the 75 mm that has fallen in the first 3 hours.

when x is greater than 4 and less than or equal to 6, the rainfall is 20mm per hour in addition to the 75 mm that has fallen in the first 3 hours.

there was no additional mm of rain that fell between the third and fourth hour.

which function is used is dependent on the value of x.

if you were to graph this function, it would look like this.