Answer:
Erica can travel 12.69 miles if she has at most $10 to spend on the cab ride
Step-by-step 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
![1.75+0.65m\le10](https://img.qammunity.org/2023/formulas/mathematics/college/rt9zllz53o29ffmnithwg6d4tynf6e64mi.png)
Solving for m, we know how far she can travel.
![\begin{gathered} 0.65m\le10-1.75 \\ 0.65m\le8.25 \\ m\le(8.25)/(0.65)=12.69 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mblbi2ja2t7ypwyrhdlzr1hwi01376qlmh.png)