Let's break down the problem step-by-step:
1. Understand the Total Limit:
The phone plan allows for a total expenditure of [tex]$25.
2. Account for the Base Cost:
There is a base cost for the plan, which is $[/tex]5. This means [tex]$5 out of the $[/tex]25 will be used just for having the plan.
3. Calculate Remaining Money:
After paying the base cost, the amount of money left for text messages can be determined by subtracting the base cost from the total limit:
[tex]\[
25 - 5 = 20
\][/tex]
So, there is [tex]$20 left to spend on text messages.
4. Determine the Cost per Text Message:
Each text message costs $[/tex]0.05.
5. Calculate Maximum Number of Text Messages:
To find out how many text messages can be sent with the remaining $20, we divide the remaining money by the cost per text message:
[tex]\[
\frac{20}{0.05} = 400
\][/tex]
6. Interpret the Result:
The maximum number of text messages that can be sent without exceeding the plan limit is 400.
Thus, the answer is that a user can send up to 400 text messages. Therefore, the correct inequality describing this situation is:
[tex]\[
t \leq 400
\][/tex]
So, the correct option is:
[tex]\[
\boxed{t \leq 400}
\][/tex]
