College

Which scenario could be represented by the following equation?

\[ 80 - 1.5m = 150 - 4.5m \]

A. An 80-gallon aquarium is being drained to clean and loses 4.5 gallons of water per minute. A 150-gallon aquarium is being drained to clean and loses 1.5 gallons of water per minute. If they start draining at the same time, how long will it take for the two aquariums to lose the same amount of water?

B. An 80-gallon aquarium is being filled. It gains 1.5 gallons of water per minute. A 150-gallon aquarium is being drained to clean and loses 4.5 gallons of water per minute. If they start draining/filling at the same time, how long will it take for the two aquariums to have the same amount of water?

C. An 80-gallon aquarium is being filled. It gains 1.5 gallons of water per minute. A 150-gallon aquarium is being filled and gains 4.5 gallons of water per minute. If they start being filled at the same time, how long will it take for the two aquariums to have the same amount of water?

D. An 80-gallon aquarium is being drained to clean and loses 1.5 gallons of water per minute. A 150-gallon aquarium is being drained to clean and loses 4.5 gallons of water per minute. If they start draining at the same time, how long will it take for the two aquariums to lose the same amount of water?

Answer :

Final answer:

The scenario represented by the equation is that two aquariums are being drained to clean, with different rates of water loss. They will not reach the same amount of water loss.


Explanation:

The equation 80-1.5m-150-4.5m represents an 80-gallon aquarium being drained to clean and losing 1.5 gallons of water per minute, and a 150-gallon aquarium being drained to clean and losing 4.5 gallons of water per minute. To find when the two aquariums will lose the same amount of water, we set the equation equal to zero and solve for m:

  1. 80 - 1.5m - 150 - 4.5m = 0
  2. Combine like terms: -6m - 70 = 0
  3. Add 70 to both sides: -6m = 70
  4. Divide by -6: m ≈ -11.67

So, it will take approximately -11.67 minutes for the two aquariums to lose the same amount of water. However, since time cannot be negative, the answer is not valid.

The correct scenario represented by the equation is: An 80-gallon aquarium is being drained to clean and loses 1.5 gallons of water per minute. A 150-gallon aquarium is being drained to clean and loses 4.5 gallons of water per minute. If they start draining at the same time, they will not reach the same amount of water loss.


Learn more about Aquarium water loss here:

https://brainly.com/question/16517792


Other Questions