A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in the aquarium, it can be filled in 9.5 hours. Find the volume of the rock in cubic feet

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock (), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock () minus the volume of the fish aquarium with the decorative rock (), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

(1)

Where:

- Flow rate, measured in gallons per hour.

- Filling time of the fish aquarium without the decorative rock, measured in hours.

- Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

The flow rate is 200 gallons per hour.

If we know that , and , then the volume of the rock is:

The volume of the rock is 13.368 cubic feet.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.