Final answer:
The linear equation y = 200 + 5x indicates that Samuel runs at a slope of 5, meaning he runs 5 meters in 1 second, which makes the correct answer B.
Step-by-step explanation:
When analyzing the linear equation y = 200 + 5x, the slope of the equation represents the rate of change of y with respect to x. In the context of Samuel's running progress, x could represent the time in seconds, and y the distance in meters. The slope is given by the coefficient of x, which in this case is 5. This means that Samuel runs 5 meters for every 1 second that passes, as the slope describes the change in distance for each unit of time. So, the correct answer is B. Samuel runs 5 meters in 1 second.
To further understand the use of the slope, consider an Olympic-quality sprinter who runs 100 meters in approximately 10 seconds, yielding an average speed of 10 m/s. If we compare this with Samuel's rate of 5 meters per second, we can see Samuel is running at half the speed of an Olympic sprinter.