Final answer:
After setting up a system of equations based on Alanna and Travis's rental costs and solving, the price per day to rent a table at the flea market is found to be $15.
Step-by-step explanation:
The cost to rent a table at a flea market consists of a fixed registration fee and a variable daily rental price. To find the price per day, we can set up a system of equations using the information given about Alanna and Travis:
- Let x be the daily rental price.
- Let y be the initial registration fee.
- Alanna's cost for one day: y + x = $45.
- Travis' cost for four days: y + 4x = $90.
We can solve these equations simultaneously. By subtracting the first equation from the second, we eliminate y and find that 3x = $45. Therefore, x = $15 per day. This tells us that the price to rent a table per day is $15.