Answer:
22
Explanation:
The cell phone plan costs $39.99 per month plus $0.18 for each text message.
Let the number of text messages sent or receive = t
The cost, C in a month will be:
[tex]C=39.99+0.18t[/tex]If you have at most $44 to spend, it means the cost can be less than or equal to $44.
[tex]39.99+0.18t\leq44[/tex]We then solve the inequality for t.
[tex]\begin{gathered} \text{Subtract 39.99 from both sides} \\ 39.99-39.99+0.18t\leq44-39.99 \\ 0.18t\leq4.01 \\ \text{Divide both sides by 0.18} \\ \frac{0.18t}{0.08}\leq\frac{4.01}{0.18} \\ t\leq22.3 \end{gathered}[/tex]Since text messages cannot be decimal, the maximum number of text messages that you can send or receive next month is 22.
