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Use the table to answer the question below.

The table shows a relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional.

(1 point)
Responses

The relationship is non-proportional; the graph would be an arc.
The relationship is non-proportional; the graph would be an arc.

The relationship cannot be determined from the information provided.
The relationship cannot be determined from the information provided.

The relationship is non-proportional; the graph does not pass through the origin.

the relation ship is proportional

3 answers

To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we need to verify two conditions:

  1. The relationship should be linear: This means that as you increase the time walking, the calories burned should increase at a constant rate.
  2. The graph of the relationship should pass through the origin (0,0): This indicates that if no time is spent walking, no calories are burned.

Since we don't have the actual data table, we need to infer based on common knowledge about physical activity and calories burned.

If the amount of calories burned increases consistently with the time spent walking and the graph passes through the origin, then the relationship is proportional.

If it does not pass through the origin or if there's inconsistency in how calories are burned over time (for example, if it's not a linear increase), then the relationship would be non-proportional.

Based on the typical patterns of calories burned during walking, if tests show continuous, consistent rates of burning calories for each unit of time walked, the relationship can be considered proportional.

Without seeing the actual table or data, I can't give a definitive answer. However, if you find that the graph does not pass through the origin or does not show a consistent, straight line, then the relationship is non-proportional.

Please refer to the specific details in the table to check these conditions. If you have the specific data points, I can help analyze them to reach a conclusion.

the graph says time walking 20 30 40 60 80
calories burned 100 150 200 300 400

Based on the data you've provided:

  • Time walking (minutes): 20, 30, 40, 60, 80
  • Calories burned: 100, 150, 200, 300, 400

To determine if the relationship is proportional, we can analyze the ratios of calories burned to time spent walking.

  1. Calculate the ratio of calories burned to time walking for each data point:

    • For 20 minutes: 100 calories / 20 minutes = 5
    • For 30 minutes: 150 calories / 30 minutes = 5
    • For 40 minutes: 200 calories / 40 minutes = 5
    • For 60 minutes: 300 calories / 60 minutes = 5
    • For 80 minutes: 400 calories / 80 minutes = 5

In this case, the ratio of calories burned to time walking is consistently 5 for all data points. This indicates a constant rate of calories burned per minute of walking.

  1. Check if it passes through the origin: Since when 0 minutes are walked, no calories are burned (0 calories), the graph would indeed pass through the origin (0,0).

Given that the ratio is constant and that the graph passes through the origin, we can conclude that the relationship is proportional.

Therefore, the correct response is:

The relationship is proportional.