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.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

here is your mark brainliest