To determine how many miles Ariel can travel with \[tex]$35, considering the flat fee and the per-mile charge, we need to set up an inequality that accounts for the total cost constraint.
1. Identify the charges:
- Flat fee: \$[/tex]1.45
- Cost per mile: \[tex]$0.55
2. Set up the inequality:
- Let \( x \) represent the number of miles Ariel can travel.
- The total cost for \( x \) miles can be written as the sum of the flat fee and the per-mile charges:
\[
1.45 + 0.55x
\]
- Ariel has \$[/tex]35 in total to spend, so the total cost should not exceed \[tex]$35. Thus, we set up the inequality:
\[
1.45 + 0.55x \leq 35
\]
3. Conclusion:
The correct inequality expressing the constraint on how many miles Ariel can travel is:
\[
1.45 + 0.55x \leq 35
\]
Therefore, the correct option is:
\[
\$[/tex] 1.45 + \[tex]$ 0.55 x \leq \$[/tex] 35
\]
