A 500-gallon tank initially contains 200 gallons of fuel oil. A pump is filling the tank at

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A 500-gallon tank initially contains 200 gallons of fuel oil. A pump is filling the tank at a rate of 6 gallons per minute. 

(a) Write a formula for a linear function f that models the number of gallons of fuel oil in the tank after x minutes. 

(b) Graph f. What is an appropriate domain for f? 

(c) Identify the y-intercept and interpret it. 

(d) Does the x-intercept of the graph of f have any physical meaning in this problem? Explain.

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