Demarco substitutes a value for \( x \) in the equation \( \frac{1}{2} \) a. How will Demarco know if the value is a solution of the eguatif, b. Is 8 a solution of the equation? Explain.

To determine if a value is a solution to the equation \( \frac{1}{2} \), we need to clarify the equation itself. It seems like there might be a misunderstanding, as \( \frac{1}{2} \) is not an equation but rather a constant. An equation typically has a variable and an equality sign (e.g., \( f(x) = \frac{1}{2} \)). Assuming the equation is \( f(x) = \frac{1}{2} \), we can proceed with the following steps: ### a. How will Demarco know if the value is a solution of the equation? To determine if a value \( x \) is a solution of the equation \( f(x) = \frac{1}{2} \), Demarco should: 1. **Substitute the value of \( x \)** into the function \( f(x) \). 2. **Evaluate the function** at that value. 3. **Compare the result** to \( \frac{1}{2} \): - If \( f(x) = \frac{1}{2} \), then \( x \) is a solution. - If \( f(x) \neq \frac{1}{2} \), then \( x \) is not a solution. ### b. Is 8 a solution of the equation? Explain. To check if \( 8 \) is a solution, we need to evaluate \( f(8) \) and see if it equals \( \frac{1}{2} \). However, we need to know the specific function \( f(x) \) to perform this evaluation. If we assume \( f(x) = x \) (a common simple function), we can evaluate: \[ f(8) = 8 \] Now we compare: \[ 8 \neq \frac{1}{2} \] Thus, if \( f(x) = x \), then \( 8 \) is not a solution. If you have a specific function \( f(x) \) in mind, please provide it, and I can evaluate whether \( 8 \) is a solution based on that function.