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9. You are considering getting a new cell phone with texting privileges. Cell PhoneAmerica charges $40 a month and $0.39 per text message. Call on me charges $30 amonth and $0.49 per text message. After how many text messages would bothcompanies charge the same amount?

Respuesta :

Let N be the number of text messages sent.

The charge for N messages in one company will be:

[tex]40+0.39N[/tex]

While on the other company, it will be:

[tex]30+0.49N[/tex]

If after N messages, the charge is the same in both companies, then:

[tex]40+0.39N=30+0.49N[/tex]

Solve this equation for N:

[tex]\begin{gathered} 0.49N-0.39N=40-30 \\ \Rightarrow0.1N=10 \\ \Rightarrow N=100 \end{gathered}[/tex]

Therefore, both companies will charge the same at 100 messages sent.

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