To determine the number of miles Henri can afford to ride in the taxi with his budget of [tex]$14.00, we need to follow these steps:
1. Identify the total funds available to Henri:
Henri has a total of $[/tex]14.00.
2. Account for the flat fee charged by the taxi service:
The taxi service charges a flat fee of [tex]$1.25, which will be subtracted from Henri's total budget:
\[
14.00 - 1.25 = 12.75
\]
So, Henri has $[/tex]12.75 left for the per-mile charges.
3. Determine the cost per mile:
The taxi service charges [tex]$0.75 per mile.
4. Calculate the maximum number of miles Henri can afford with the remaining budget:
With $[/tex]12.75 left, we need to calculate how many miles can be covered at [tex]$0.75 per mile:
\[
\frac{12.75}{0.75} = 17.0
\]
Therefore, Henri can afford to ride exactly 17.0 miles with the remaining budget of $[/tex]12.75.
5. Select the correct condition based on the maximum number of miles Henri can afford:
Because 17.0 exactly fits Henri's budget constraints, the correct condition should describe that he can ride up to (including) 17.0 miles. The condition that fits this requirement is:
[tex]\[
m \leq 17
\][/tex]
In conclusion, the correct condition that shows the number of miles Henri can afford to ride in the taxi is:
[tex]\[
m \leq 17
\][/tex]
