Question

Patti's Pet Palace has a 100-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 5 gallons per minute. Assuming the tank was full, and x represents the number of minutes the tank has been draining, which of the following equations represents the amount of water in the tank after x minutes?
A. y = 5x - 100
B. y = 5x + 100
C. y = 100 - 5x
D. y = 100x - 5

Answer 1

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Answer:

Your answer would be C). y = 100 - 5x

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Step-by-step explanation:

Let's break down the question so it would be more easier to figure out the answer.

We would be making a y = mx + b equation

Important information:

• 100-gallon.

• "Drained" at a rate of 5 gallons PER minute.

• x represents the number of minutes the tank has been draining.

With the information above, we can use that to make our equations.

We know that the place has a 100 gallon fish tank. in the question, it says that for the equation, the tank was full, so that would be our "beginning point" or "starting value. From the equation, it would represent our "B" value.

Our equation should look like this now:

y = mx + 100

Now we need to find the rate of change.

In the question, it says that the tank DRAINS at around 5 gallons per minute, meaning that we would have to subtract 5 (-5). That would represent your "m" value on the equation. Your equations should now look like this:

y = -5x + 100

F.Y.I: y = 100 - 5x is the same that as -5x + 100, it's just flipped, and y = 100 - 5x is the answer choice that looks close to the one we made.

Answer choice C). y = 100 - 5x would be your FINAL answer.

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