Question

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

Explanation:

Step1: Analyze the range of elevation values

The elevation values are \(4000,4500,5000,5500,6000,6500,7000\). The minimum elevation is \(4000\) and the maximum is \(7000\).

Step2: Analyze the range of snow - fall values

The snow - fall values are \(24,35,40,70,90,100,120\). The minimum snow - fall is \(24\) and the maximum is \(120\).

Step3: Check the scales of each graph

• Graph A: The \(y\) - axis (snow - fall) has a scale that starts from \(4000\) (which is wrong as snow - fall is in inches).
• Graph B: The \(y\) - axis (snow - fall) has values \(0,20,40,\cdots\) and the \(x\) - axis (elevation) has values \(3500,4000,\cdots\). The range of elevation \(4000 - 7000\) and snow - fall \(24 - 120\) can be well - represented.
• Graph C: The \(y\) - axis (snow - fall) has a scale \(500,1000,\cdots\) (wrong unit for snow - fall which is inches).
• Graph D: The \(x\) - axis (elevation) has a scale \(1000,2000,\cdots\) and the range of elevation in data is \(4000 - 7000\). But the \(y\) - axis (snow - fall) has a scale \(40,80,\cdots\) which is not as appropriate as Graph B for the given data range.

Answer:

B.