To analyze the options, we can use the line of best fit equation \( y = 50x + 75 \), where \( y \) is the price of the fishing trip and \( x \) is the number of hours of the trip.
Let's evaluate each statement based on this equation:
-
Charles can go on a 1-hour fishing trip for less than $100.
- For \( x = 1 \): \[ y = 50(1) + 75 = 125 \] This means a 1-hour trip costs $125, which is not less than $100.
-
Charles pays $300 for a 3-hour trip.
- For \( x = 3 \): \[ y = 50(3) + 75 = 150 + 75 = 225 \] This means a 3-hour trip costs $225, which means he does not pay $300.
-
Charles can take a 6-hour trip for less than $400.
- For \( x = 6 \): \[ y = 50(6) + 75 = 300 + 75 = 375 \] A 6-hour trip costs $375, which is less than $400.
-
For $200, Charles can travel for 2 hours.
- For \( x = 2 \): \[ y = 50(2) + 75 = 100 + 75 = 175 \] A 2-hour trip costs $175, which is not $200.
Based on this analysis, the only correct statement is: Charles can take a 6-hour trip for less than $400.