A huge storm is quickly filling up Manuel's rainwater collection tank. Manuel wants to know if his 1000 gallon tank will overflow in the next hour, so he uses a rain gauge to determine that rain water is filling up his tank at a rate of 0.5t gallons per minute. a. Sketch a graph of this situation. Label the axes with correct units. b. How fast is the tank filling up at t = 10 minutes? 20 minutes? 30 minutes? What does this tell you about how fast the tank is filling up? c. Write a summary statement describing how the rate of 0.5t gallons per minute relates to how fast the tank is filling up. d. If Manuel's predicted rate is correct, will his rainwater tank overflow within the hour? Support your answer with mathematics.