To determine the correct linear equation that represents the scenario of renting a sedan, let's break down the costs and see how they contribute to the total cost [tex]$C(m)$[/tex].
Given:
- The rental car company charges [tex]$0.50 per mile. So, if $[/tex]m[tex]$ represents the number of miles driven, the cost for driving $[/tex]m[tex]$ miles is \(0.50 \times m\).
- There is also a flat rate of $[/tex]30.00 that is charged irrespective of the number of miles driven.
Using this information, the total cost [tex]$C(m)$[/tex], which is a function of the number of miles [tex]$m$[/tex] driven, can be expressed as:
[tex]\[C(m) = 0.50m + 30\][/tex]
The problem asks us to identify the correct equation that represents a cost of [tex]$130. This means we need to set $[/tex]C(m)[tex]$ equal to $[/tex]130[tex]$ and look for a corresponding linear equation:
\[130 = 0.50m + 30\]
Therefore, the correct option is:
\[130 = 0.50m + 30\]
So, the correct linear equation that represents a cost of $[/tex]130 is:
[tex]\[130 = 0.50m + 30\][/tex]
This matches the third option given in the question:
[tex]\[130 = 0.50m + 30\][/tex]
