Explanation
Correct answer: 28.
The minimum number of individual trips for which the cost of the monthly pass is less than the cost of individual tickets can be found by assuming the maximum cost of the individual tickets, $. If tickets costing $ each are purchased in one month, the inequality represents this situation. Dividing both sides of the inequality by yields , which is equivalent to . Since only a whole number of tickets can be purchased, it follows that is the minimum number of trips.
Desmos solution:
Note: Compare the $95 pass with $3.50 trips; the regression gives the boundary, so round up to 28 trips.
Enter in Desmos:
Reviewed and rewritten by CookSAT