To determine the correct inequality for Jennifer's taxi ride spending limit, we need to analyze the charges and constraints:
1. Fixed Flat Rate: The taxi charges a flat rate of \[tex]$3. This is a constant amount that will always be added to the total cost, regardless of the distance traveled.
2. Variable Cost per Mile: The taxi also charges \$[/tex]1.80 per mile traveled. If [tex]\( m \)[/tex] represents the number of miles traveled, the cost for the miles can be written as [tex]\( 1.80m \)[/tex].
3. Total Cost: The total cost of the ride will be the sum of the flat rate and the cost for the traveled miles. Thus, the total cost [tex]\( T \)[/tex] can be expressed as:
[tex]\[
T = 3 + 1.80m
\][/tex]
4. Budget Constraint: Jennifer has a budget limit of \[tex]$25. She wants to ensure she does not spend more than this amount. Therefore, the total cost must be less than or equal to \$[/tex]25.
5. Setting Up the Inequality: To represent Jennifer's budget constraint mathematically, we need to set up an inequality where the total cost [tex]\( T \)[/tex] is less than or equal to \[tex]$25:
\[
3 + 1.80m \leq 25
\]
Based on this analysis, the correct inequality that represents Jennifer's situation is:
\[
\boxed{3 + 1.80m \leq 25}
\]
Therefore, the correct answer is:
C. \(\$[/tex] 3 + 1.80 m \leq \$ 25\).
