Question

ramón and mason race at track practice. the lines represent the distance of each runner in yards from the start, y, as a function of time in seconds, x. who do you think will win the race? ramón mason

Explanation:

Step1: Analyze the slopes of the lines

In a distance - time graph, the slope of the line represents the speed. The formula for the slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For a steeper line (larger slope), the runner has a higher speed.

Step2: Compare the slopes of Ramón and Mason's lines

Looking at the graph, Ramón's line is steeper than Mason's line. A steeper line in a distance - time graph means that for the same amount of time (\(x\) - axis), Ramón covers a greater distance (\(y\) - axis). Since they start from the same point (\(y = 0\) when \(x = 0\)), the runner with the higher speed (Ramón) will reach the finish line (assuming a fixed - distance race) in less time.

Answer:

Ramón