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First we have to write a general equation for the cost she has been charge so it will be:
[tex]y=13+0.06\cdot m[/tex]then if she paid 77.68 then we can teplace that and solve for m so:
[tex]\begin{gathered} 77.68=13+0.06\cdot m \\ 77.68-13=0.06\cdot m \\ \frac{64.68}{0.06}=m \\ 1078=m \end{gathered}[/tex]so she use exactly 1078 minutes