Times walking (minutes)
Calories Burned
The table shows the relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional.
Without the specific table provided, it is not possible to determine if the relationship between the amount of time spent walking and the number of calories burned is proportional or not. It would be necessary to analyze the data in the table to determine if there is a consistent rate of increase or decrease in calories burned as the time spent walking increases or decreases.
To determine if the relationship is proportional, we need to compare the ratios of time spent walking to calories burned for different data points.
Let's consider two data points from the table:
First data point:
Time walking: 20 minutes
Calories burned: 150
Second data point:
Time walking: 40 minutes
Calories burned: 300
Now, let's calculate the ratios for both data points:
For the first data point, the ratio of time walking to calories burned is:
20 minutes / 150 calories = 0.13333 minutes/calorie
For the second data point, the ratio of time walking to calories burned is:
40 minutes / 300 calories = 0.13333 minutes/calorie
Since both ratios are equal to 0.13333 minutes/calorie, we can conclude that the relationship between the amount of time spent walking and the number of calories burned is proportional.
To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we need to see if the ratio of time to calories burned remains constant for different time periods of walking.
Here is what you can do to check for proportionality:
1. Look at the table: Examine the data in the table that shows the relationship between the time spent walking and the calories burned. Make sure the time is listed in minutes and the calories burned are specified.
2. Calculate ratios: Choose two different time intervals and calculate the ratio of the calories burned for those time intervals. For example, if you choose 10 minutes and 20 minutes, calculate the ratio of calories burned for each time interval (i.e., calories burned in 10 minutes divided by calories burned in 20 minutes).
3. Compare ratios: Compare the ratios you calculated for different time intervals. If the ratios are equal or approximately equal for all chosen time intervals, then the relationship is likely to be proportional.
4. Draw conclusions: Based on your calculations and observations, determine whether the relationship between time spent walking and calories burned is proportional. If the ratios remain constant, then the relationship is proportional. If the ratios vary significantly or are not approximately equal, then the relationship is not proportional.
By following these steps, you can analyze the table and determine whether the relationship between time spent walking and calories burned is proportional or not.