Question

1. it costs felisa $0.20 to send a text message from her cell phone. she has already spent $5 in text messages this month. if she has a total of $12 that she can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send. interpret the solution.

Explanation:

Step1: Define variable

Let \( x \) be the number of text messages Felisa can send. The cost per text is \$0.20, so the cost of LXI1 texts is LXI2. She already spent \$5, so total cost is \( 0.20x + 5 \). This total must be less than or equal to \$12 (her budget). So the inequality is \( 0.20x + 5 \leq 12 \).

Step2: Solve inequality

Subtract 5 from both sides: \( 0.20x \leq 12 - 5 \) → \( 0.20x \leq 7 \). Then divide both sides by 0.20: \( x \leq \frac{7}{0.20} \) → \( x \leq 35 \).

Answer:

The inequality is \( 0.20x + 5 \leq 12 \), and the solution is \( x \leq 35 \). This means Felisa can send at most 35 text messages this month.