The intersection of the two graphs means that students may choose to pay $20 per hour under Plan 1, or they may choose to follow the plan shown on the graph in blue under Plan 2.
The intersection of the two graphs in the image represents the point where the cost of Plan 1 and Plan 2 are the same.
In this case, the intersection point is at (2, 43), which means that it costs $43 for 2 hours of tutoring under both plans.
With Plan 1, students pay a flat rate of $20 per hour, so it costs $20 for 1 hour, $40 for 2 hours, and so on.
With Plan 2, students pay a lower hourly rate, but they also have to pay a one-time enrollment fee.
The enrollment fee is not shown on the graph, but we can assume that it is less than $43, since Plan 2 is cheaper than Plan 1 for 2 hours of tutoring.
For more than 2 hours of tutoring, Plan 2 is cheaper than Plan 1. For example, it costs $65 for 3 hours of tutoring under Plan 1, but only $60 under Plan 2.
Answering the questions in the image:
With: Plan 2
It costs: $43
For: 2 hours of tutoring
The intersection of the two graphs means that students may choose to pay $20 per hour under Plan 1, or they may choose to follow the plan shown on the graph in blue under Plan 2.
If they choose Plan 2, they will pay a lower hourly rate, but they will also have to pay a one-time enrollment fee.
For more than 2 hours of tutoring, Plan 2 is cheaper than Plan 1.