Question 1184768
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.


<img src = "http://theo.x10hosting.com/2021/100201.jpg" >