Answer:
Erica can travel 12.69 miles if she has at most $10 to spend on the cab ride
Explanation:
Given that the taxi charges:
$1.75 flat rate, and $0.65 per mile.
This charges can be represented by the expression:
1.75 + 0.65m
where m is the additional number of miles.
If Erica has at most $10 to spend on the cab ride, then
[tex]1.75+0.65m\le10[/tex]Solving for m, we know how far she can travel.
[tex]\begin{gathered} 0.65m\le10-1.75 \\ 0.65m\le8.25 \\ m\le\frac{8.25}{0.65}=12.69 \end{gathered}[/tex]