We have been given that a taxi fare has a fixed charge of $1.75 and an additional charge $0.45 per mile. A fare for m miles is $13.90.
Let m be number of miles traveled by taxi. Now we will use our given information to write an equation that could be used to find number of m miles as:
[tex]0.45m+1.75=13.90[/tex]
Therefore, equation to find m miles will be [tex]0.45m+1.75=13.90[/tex].
Now let us find number of miles taxi traveled for a fare of $13.90.
[tex]0.45m=13.90-1.75[/tex]
[tex]0.45m=12.15[/tex]
[tex]m=\frac{12.15}{0.45}[/tex]
[tex]m=27[/tex]
Therefore, taxi covered 27 miles in $13.90.