The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a tank in 45 minutes at the rate of 600 gallons pr minutes, how long will it take the pump to empty the same tank at the rate of 1000 gallons per minute?

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First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.