Question

new cell phone plan costs $39.99 per month plus $0.18 for each text message you send or receive you have at most $44 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month

Answer 1

22

Step-by-step 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:

`C=39.99+0.18t`

If you have at most $44 to spend, it means the cost can be less than or equal to $44.

`39.99+0.18t\leq44`

We then solve the inequality for t.

`\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} \\ (0.18t)/(0.08)\leq(4.01)/(0.18) \\ t\leq22.3 \end{gathered}`

Since text messages cannot be decimal, the maximum number of text messages that you can send or receive next month is 22.