A 15-gallon tank is being filled with water and has a pump that will drain
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A 15-gallon tank is being filled with water and has a pump that will drain

3. A 15-gallon tank is being filled with water and has a pump that will drain the tank when the amount of water inside the tank reaches a certain volume. The volume of water in the tank was measured in quarter-hour intervals, giving the following data:


a) What is the type of polynomial function that best fits the data? Explain your reasoning.

b) Write the regression equation that represents the data.

c) What is the volume at which the pump begins to drain the tank?

d) How much time will have passed when the tank is empty?

e) What are the restrictions on the volume and time?

Hint
Mathematicsb) The regression equation is written as Y = a + bX +e. Y is the value of the Dependent variable (Y), what is being predicted or explained. a or Alpha, a constant; equals the value of Y when the value of X=0. b or Beta, the coefficient of X; the slope of the regression line; how much Y changes for each one-unit change in X. X is the value of the Independent variable (X), what is pr...
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