Question

a phone plan has a limit of $25 that can be spent on text messages. the base cost of the text plan will cost a user $5. each text will cost $0.05. how many text messages (t) can a user send without exceeding the plan limits?

Explanation:

Step1: Set up the inequality

The base cost is $5$, and each text costs $0.05$. The total cost should be less than or equal to $25$. So the inequality is $5 + 0.05t\leq25$.

Step2: Solve the inequality for \(t\)

Subtract $5$ from both sides: $0.05t\leq25 - 5$, which simplifies to $0.05t\leq20$.
Then divide both sides by $0.05$: $t\leq\frac{20}{0.05}$.
Calculating $\frac{20}{0.05}=400$.

Answer:

$t\leq400$