Respuesta :
ANSWER
[tex]\begin{equation*} 100\text{ minutes} \end{equation*}[/tex]EXPLANATION
Let the number of minutes of calls be x.
For the first plan, the cost of the calls is $26 monthly plus an additional $0.11 for each minute of calls. This implies that the cost of calls for the first plan is:
[tex]C_1=26+0.11x[/tex]For the second plan, the cost of the calls is $22 monthly plus an additional $0.15 for each minute of calls. This implies that the cost of calls for the second plan is:
[tex]C_2=22+0.15x[/tex]When the costs of the two plans are equal, it implies that C1 is equal to C2:
[tex]\begin{gathered} C_1=C_2 \\ \Rightarrow26+0.11x=22+0.15x \end{gathered}[/tex]Now, we have to solve for x to find the number of minutes of calls for which the costs will be the same:
[tex]\begin{gathered} 26+0.11x=22+0.15x \\ 26-22=0.15x-0.11x \\ 4=0.04x \\ x=\frac{4}{0.04} \\ x=100\text{ minutes} \end{gathered}[/tex]That is the answer.
