A modern art piece includes drops of paint spilling periodically into a basin of liquid. The display is timed with an expectation that the circular area of the green spill increases 1.5 square centimeter per hour. Increase in area: A(h) = 1.5h; h in hours Increase in diameter: in square centimeters The artist would like to know the area of the spill after any number of hours, h. Which composite function represents the diameter of the green paint as a function of hours?

Answer and explanation:

Function to represent the modern art piece given that diameter of the circular spill increases by 1.5 square centimeter per hour will be :

D = 1.5h

Where D= diameter of the circular spill after h hours paint spill

h = number of hours of paint spill, where each hour produces 1.5 square centimeters of circular paint spill

If for instance, number of hours of paint spill for the piece = 2 hours

Then diameter of spill = 1.5×2 = 3 square centimeters using the equation above

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