To determine the correct inequality that represents Jennifer's situation, we need to consider the components of the taxi fare and how they accumulate to form the total cost:
1. Flat Rate: The initial cost of the taxi ride is a flat rate of [tex]$3.
2. Cost Per Mile: For each mile traveled, Jennifer will be charged an additional $[/tex]1.80.
3. Maximum Amount to Spend: Jennifer has a maximum of [tex]$25 to spend on the taxi ride.
The combined total of these costs (the flat rate plus the cost per mile) must be less than or equal to the maximum amount Jennifer can spend, which is $[/tex]25.
We can set up the expression for the total cost:
[tex]\[ \text{Total Cost} = 3 + 1.80m \][/tex]
Now we create an inequality to ensure that the total cost does not exceed Jennifer's budget:
[tex]\[ 3 + 1.80m \leq 25 \][/tex]
So, the correct inequality representing Jennifer's situation is:
[tex]\[ 3 + 1.80m \leq 25 \][/tex]
Therefore, the correct answer is:
C. [tex]\(\$ 3+1.80 m \leq \$ 25\)[/tex]
