The graph shows the temperature of heated water at a certain heating time. What are the variables?
Describe how the variables are related at various points on the graph.
the graph is going from 50 to 100
x is 0,1,2,3,5,6
and y goes up to 120
x is independent heating time(min)
y is is dependent, water temperature (oC)
The variables in this scenario are the independent variable which is the heating time (x-axis) and the dependent variable which is the water temperature (y-axis).
At the start of the heating process, when x=0, the water temperature is around 50oC. As the heating time increases, the water temperature gradually rises. The relationship between the variables at this point is positive - as the heating time increases, the water temperature also increases.
As heating time progresses further, the water temperature increases at a faster rate. This is indicated by the steeper slope of the graph between x=1 and x=3. The relationship between the variables here is again positive, with an increasing heating time resulting in a higher water temperature.
Once the heating time exceeds x=3, the rate of temperature increase starts to decrease. This can be observed by the shallower slope of the graph between x=3 and x=5. The relationship between the variables is still positive, but the increase in water temperature per unit of heating time becomes smaller.
Finally, as the heating time approaches x=6, the water temperature continues to rise, but at a very slow rate. The relationship between the variables here is still positive, indicating that a longer heating time will result in a higher water temperature, but the effect becomes almost negligible.
Overall, the variables in this graph show a positive relationship, with an increasing heating time leading to a higher water temperature.