What statement describes the \( x \)-intercept of the graph? A. The \( x \)-intercept is 200 , which represents the initial distance B. The \( x \)-intercept is 5 , which represents which represents the initial distance C. The \( x \)-intercept is 200 , which represents the hours traveled to reach your destinat D. The \( x \)-intercept is 5 , which represents the hours traveled to reach your destinatio

To determine the correct statement that describes the \( x \)-intercept of the graph, we need to understand what an \( x \)-intercept represents. The \( x \)-intercept is the point where the graph of a function crosses the \( x \)-axis. At this point, the \( y \)-coordinate is zero. Let's analyze each statement: A. The \( x \)-intercept is 200, which represents the initial distance. - This statement suggests that the \( x \)-intercept is at \( x = 200 \). However, it does not specify the units of the \( x \)-axis, which are crucial for understanding the context. B. The \( x \)-intercept is 5, which represents which represents the initial distance. - This statement is incorrect because it repeats the word "which" and does not provide a clear explanation of the units or the context of the \( x \)-axis. C. The \( x \)-intercept is 200, which represents the hours traveled to reach your destination. - This statement suggests that the \( x \)-intercept is at \( x = 200 \), and it provides the context that the \( x \)-axis represents hours traveled. This is a clear and accurate description of the \( x \)-intercept. D. The \( x \)-intercept is 5, which represents the hours traveled to reach your destination. - This statement suggests that the \( x \)-intercept is at \( x = 5 \), which is a different value than the one provided in statement C. It also correctly identifies the \( x \)-axis as representing hours traveled, but the value of the \( x \)-intercept is incorrect. Based on the analysis, the correct statement is: C. The \( x \)-intercept is 200, which represents the hours traveled to reach your destination. This statement provides the correct value for the \( x \)-intercept and the appropriate context for the \( x \)-axis.