Let x be the number of maximum miles that Tiffany can drive, then we can set the following equation:
[tex]18.95+0.17x=40.[/tex]Subtracting 18.95 from the above equation we get:
[tex]\begin{gathered} 0.17x=40-18.95, \\ 0.17x=21.05. \end{gathered}[/tex]Dividing by 0.17 we get:
[tex]x=\frac{21.05}{0.17}=123.8235294.[/tex]Now, since the cost is for each mile, then we have to round to the nearest lowest whole number, therefore, she can drive for 123 miles.
Answer: 123 miles.
