Solution:
Given that Anton sends an average of 195 text messages each week, to evaluate the number of messages he will send in a year, at this rate,
Recall that
[tex]52\text{ weeks }\Rightarrow\text{ 1 year}[/tex]Let y represent the number of messages he will send in a year (52 weeks).
Thus, we have
[tex]\begin{gathered} 195\text{ messages }\Rightarrow\text{ 1 week} \\ y\text{ }\Rightarrow\text{ 52 weeks} \\ cross-multiply, \\ y\times1=195\times52 \\ thus, \\ y=\frac{195messages\times52weeks}{1\text{ week}} \\ \Rightarrow y=10140\text{ text messages} \end{gathered}[/tex]Hence, at this rate, he will send 10140 text messages in a year.
