Question

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?

Answer 1

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 \( G \).