Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.
The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
The dependency relationship using the function notation is;f(x) = {function of x}.
The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>
<em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog
The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.
This means that as the speed reduced from 160 m/min to 120 m/min, the tool life increased from 5 min. to 17 min, hence the difference between the changes are:
speed = 160 - 120 = 40 m/min
tool life = 17 - 5 = 12 min.
Therefore, it can be concluded that a change of speed of 40 m/min, increases the tool life by 12 min.
