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The cost to rent a moving truck is a flat fee of [tex][tex]$\$[/tex]25[tex]$[/tex] plus [tex]$[/tex]\[tex]$0.60$[/tex][/tex] per mile. The equation [tex][tex]$c=25+0.6m$[/tex][/tex] models the cost, [tex][tex]$c$[/tex][/tex], in dollars for the number of miles, [tex][tex]$m$[/tex][/tex], traveled in the truck.

Identify the independent and dependent variables.

The [tex][tex]$m$[/tex][/tex] is the independent variable.

The [tex][tex]$c$[/tex][/tex] is the dependent variable.

Sagot :

GinnyAnsweridn
To determine the independent and dependent variables in the given equation [tex]\( c = 25 + 0.6m \)[/tex], we need to understand the relationship between the two variables involved.

1. The cost [tex]\( c \)[/tex] represents how much you will pay in dollars.
2. The number of miles [tex]\( m \)[/tex] represents how far you travel in the truck.

In this context, the cost [tex]\( c \)[/tex] depends on the number of miles [tex]\( m \)[/tex] traveled. Therefore:

- The number of miles [tex]\( m \)[/tex] is what you control or choose, which makes it the independent variable.
- The cost [tex]\( c \)[/tex] changes based on the number of miles [tex]\( m \)[/tex], making it the dependent variable as it "depends" on [tex]\( m \)[/tex].

Therefore, the independent variable is the number of miles traveled, and the dependent variable is the cost.

To explicitly fill in the blanks:

The number of miles (m) is the independent variable.

The cost (c) is the dependent variable.
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