consider the relationship between the height of a child and time. Time would be considered which of the following
A. Function
B. Input Function
C. Dependent Variable
D. Independent Variable
In this context, time would be considered the independent variable.
In this scenario, the height of a child is being measured and compared to another variable, time. To determine which characterizes time, let's break down the options:
A. Function: A function is a relation where each input value (independent variable) corresponds to exactly one output value (dependent variable). In this case, time may or may not be a function depending on how it is related to the child's height.
B. Input Function: The term "input function" is not a commonly used mathematical term. It does not accurately describe the relationship between the child's height and time.
C. Dependent Variable: A dependent variable is the variable in a relation or experiment that is being measured or observed. In this case, the child's height is not the dependent variable since we are studying the relationship between height and time.
D. Independent Variable: An independent variable is the variable in a relation or experiment that is manipulated or controlled to observe its effect on the dependent variable. Time in this case is the variable that is being manipulated or controlled in order to observe its effect on the child's height.
Therefore, the correct answer is D. Independent Variable. Time is considered the independent variable in this relationship because it is being controlled or manipulated to observe its effect on the child's height.
along the x (horizontal) axis you would have time
along the y (vertical) axis you would have height
so the height is a function of (depends on) time
so time is the independent variable and height is dependent on age(time)