A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most 10$ to spend on the cab ride, how far could she travel?

Set up the cost function C(m) where m is the number of miles:
C(m) = 0.65m + 1.75

If Erica has $10, then C(m) = 10, so we have:
0.65m + 1.75 = 10

Typing this equation into the search engine, we get
m = 12.69

if the answer asks for whole number, then we round down to m = 12