This document discusses experimental research and its practical applications. It provides examples of how to identify independent and dependent variables in equations and hypotheses. The examples show that independent variables are those values that determine the dependent variables. Dependent variables are values that are determined by the independent variables. Exercises are given to identify independent and dependent variables in different scenarios involving drinking mountain dew before bed and dissolving sugar in water as the temperature changes.
21. • Example 1:
If we take an equation y = f(x) = In x, i.e. y
depends on x. if we take different different
values of x
then we find some different values of y.
x = 1 then y = In 1 = 0, x = 2 then y = 0.693
x = 3 then y = 1.09, x = 5 then y = 1.60x = 7
then y = 1.945
23. Important:
• In Mathematics, independent variables are
those values that determine the value of other
variables. Dependent variables are those,
whose values are determined with the help of
the independent variable.
24. EXERCISES:
• If I drink mountain dew before bed,then I will
not sleep very much.
• (Independent or Dependent)
1. DrinK mountain dew.____________
2. amount of sleep. _______________
26. Hypothesis example:
• If water temperature increases, then the
amount of sugar dissolved in the water will
also increase.
• Independent or dependent?
• 1. amount of sugar that dissolves, measured in
grams. _______________________
• 2.water temperature_________________