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A swimming pool is being drained. The number of gallons of water in the pool changes with time t according to the equation G = -4t + 100.

Which equation correctly solves the given equation for t?

1 answer

To solve the equation \( G = -4t + 100 \) for \( t \), we can follow these steps:

  1. Isolate the term with \( t \): First, we can move the \( 100 \) to the other side of the equation by subtracting \( 100 \) from both sides:

    \[ G - 100 = -4t \]

  2. Solve for \( t \): Next, we need to get \( t \) by itself. To do this, we divide both sides by \(-4\):

    \[ t = \frac{G - 100}{-4} \]

  3. Simplify the equation: This can also be rewritten as:

    \[ t = -\frac{1}{4}(G - 100) \]

So, the equation that correctly solves for \( t \) is:

\[ t = \frac{100 - G}{4} \]

This derived equation gives the value of \( t \) in terms of \( G \).