drag the correct scales and labels to the correct location on the graph. a scientist has a chemical sample…

Brief Explanations:

The problem asks to determine the appropriate scales and labels for a graph representing the decay of a chemical sample over time.

1. Identify Variables: The independent variable is time, measured in days. The dependent variable is the weight of the sample, measured in grams. Conventionally, the independent variable is plotted on the x-axis and the dependent variable on the y-axis.
2. Determine Axis Ranges:
   • Time (x-axis): The observation period is two weeks, which is 14 days. The x-axis should start at 0 and extend to at least 14 days. A range like 0 to 16 or 0 to 20 days would be appropriate.
   • Weight (y-axis): The initial weight is 280 grams. The weight decreases over time but remains positive. The y-axis should start at 0 and extend to at least 280 grams. A range like 0 to 300 grams would be appropriate.
3. Evaluate Options: Compare the required ranges and labels with the provided options.
   • The top-left graph has the x-axis labeled "Days" scaled from 0 to 20, and the y-axis labeled "Weight (grams)" scaled from 0 to 300. This setup correctly places the variables on the appropriate axes and covers the necessary ranges for both time (0-14 days) and weight (0-280 grams).
   • The other options are unsuitable because they either have incorrect ranges (top-right y-axis max is 200g; bottom-left x-axis max is 10 days) or incorrect axis assignments (bottom-right swaps the axes).

Answer:

The most appropriate axes scales and labels are: x-axis: Labeled "Days", scale from 0 to 20 with increments of 4. y-axis: Labeled "Weight (grams)", scale from 0 to 300 with increments of 60. (This corresponds to the top-left graph option).