To identify the independent and dependent variables in the given equation [tex]$c = 25 + 0.6m$[/tex], we need to understand what each variable represents and how they interact with each other.
1. Independent Variable:
- The independent variable is the variable that you can control or choose its value. It is the input of the function.
- In this context, the independent variable is the number of miles traveled, denoted by the symbol [tex]\( m \)[/tex]. This is because you can choose how many miles you're going to travel.
2. Dependent Variable:
- The dependent variable is the variable that depends on the value of the independent variable. It is the output of the function.
- In this context, the dependent variable is the cost in dollars, denoted by the symbol [tex]\( c \)[/tex]. This is because the total cost is determined based on the number of miles traveled.
Therefore:
- The independent variable is the number of miles traveled, [tex]\( m \)[/tex].
- The dependent variable is the cost in dollars, [tex]\( c \)[/tex].
Hence,
The [tex]\( \approx \)[/tex] is the independent variable and it represents [tex]\( m \)[/tex].
The [tex]\( \hat{\approx} \)[/tex] is the dependent variable and it represents [tex]\( c \)[/tex].
