Thomas measured the amount of rain that fell during a particularly rainy day in Louisiana. He measured the rain every hour over the course of a few hours. Rain is usually measured in millimeters by meteorologists, so Thomas decided that he would use the same unit of measurement. After his final measurement, the total amount of rain that fell was 50 mm. Part A.

Create a function that Thomas can use to represent the total amount of rain that fell, A, as a function of time in hours, h.

Part B.

Use function notation to represent the following statements:

(i) Five hours after Thomas began measuring the rain, the amount of rain was 4 centimeters.
(ii) The amount of rain collected 150 minutes after he started measuring was the same amount as his measurement after 180 minutes.