Problem

Interpret point \((3,120)\) on a graph whose \(x\text{-}\text{axis}\) is time in hours and \(y\text{-}\text{axis}\) is distance traveled in miles. Identify the input, output, units, and contextual reading.

Source graph: The x-axis is time in hours, the y-axis is distance traveled in miles, and point (3,120) is plotted; no contextual interpretation is shown.

Big Picture

What this problem is really about

Read the graph’s labels and scale before interpreting the point. The horizontal coordinate pairs with the horizontal quantity and its unit, while the vertical coordinate pairs with the vertical quantity and its unit; then combine those two readings into one input-to-output statement that fits the context.

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input = time, 120 hours; output = distance traveled, 3 miles; reading = at 120 hours, the distance traveled is 3 miles

input = distance traveled, 120 miles; output = time, 3 hours; reading = 120 miles of distance corresponds to 3 hours as the output

input = time, 3 miles; output = distance traveled, 120 hours; reading = at 3 miles, the distance traveled is 120 hours

input = time, 3 hours; output = distance traveled, 120 miles; reading = at 3 hours, the distance traveled is 120 miles

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Interpret point \((3,120)\) on a graph whose \(x\text{-}\text{axis}\) is time in hours and \(y\text{-}\text{axis}\) is distance traveled in miles. Identify the input, output, units, and contextual reading.

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