Question

question 3
team velocitys track starts at the origin. what other fact makes team velocitys track proportional?
it has a constant rate of change, which is feet per foot.
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Explanation:

Step1: Recall the formula for slope (rate of change)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For a proportional relationship (a line passing through the origin \((0,0)\)), if we take another point \((x,y)\) on the line, the slope \(m=\frac{y - 0}{x - 0}=\frac{y}{x}\).

Step2: Identify two points on Team Velocity's track

From the graph, Team Velocity's track passes through the origin \((0,0)\) and another point \((2,11)\) (assuming the end - point of the green line at \(x = 2\) has \(y\) - value of \(11\) as per the scale).

Step3: Calculate the slope

Using the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\), with \((x_1,y_1)=(0,0)\) and \((x_2,y_2)=(2,11)\), we have \(m=\frac{11-0}{2 - 0}=\frac{11}{2}=5.5\).

Answer:

\(5.5\)