The given formula is \( y = 2x(z + 3) \). This equation expresses \( y \) as a function of the variables \( x \) and \( z \).
To explore this formula further, you can:
- Substitute Values: You can substitute specific values for \( x \) and \( z \) to compute corresponding \( y \) values.
- Analyze Relationships: The formula shows that \( y \) is directly proportional to both \( x \) and \( z + 3 \). This means that as \( x \) or \( z \) increases, \( y \) will increase as well.
- Graphing: If you'd like to visualize this equation, you can plot it by choosing different values for \( x \) and \( z \) to see how \( y \) behaves. You could fix one variable and plot the other.
- Rearranging: You can rearrange the equation to solve for any of the variables. For example:
- To solve for \( x \): \[ x = \frac{y}{2(z + 3)} \]
- To solve for \( z \): \[ z = \frac{y}{2x} - 3 \]
If you have a specific question or need help with a particular application of this formula, feel free to ask!