Question

robert gathered data about the annual snowfall in relation to the elevation of different areas of his town. he organized his data into the shown.
which graph has the most appropriate scale to display the data robert collected?

Explanation:

Step1: Analyze the data range for elevation

The elevation values are \(4000,4500,5000,5500,6000,6500,7000\).

Step2: Analyze the data range for snowfall

The snow - fall values are \(24,35,40,70,90,100,120\).

Step3: Check each graph

• Graph A: The \(y\) - axis (snowfall) has a scale that is way too large (\(y\) - axis goes up to \(7000\) inches) for the given snow - fall data (max \(120\) inches). The \(x\) - axis (elevation) has a scale (\(x\) - axis goes up to \(180\) feet) that is incorrect as elevation data is in thousands of feet.
• Graph B: The \(x\) - axis (elevation) has a scale \(3500 - 7500\) which is appropriate for the elevation data (\(4000 - 7000\)). The \(y\) - axis (snowfall) has a scale \(20 - 140\) which is appropriate for the snow - fall data (\(24 - 120\)).
• Graph C: The \(y\) - axis (snowfall) has a scale that is way too large (\(y\) - axis goes up to \(3500\) inches) for the given snow - fall data (max \(120\) inches).
• Graph D: The \(x\) - axis (elevation) has a scale \(1000 - 9000\) which is not as precise as the scale in Graph B for the given elevation data (\(4000 - 7000\)). The \(y\) - axis (snowfall) has a scale \(40 - 280\), but the lower part of the \(y\) - axis (\(0 - 40\)) is not fully utilized as the minimum snow - fall is \(24\) inches.

Answer:

B.