To analyze the provided line of best fit \( y = 50x + 75 \), we can interpret \( y \) as the price of the fishing trip and \( x \) as the length of the trip in hours.
Let's evaluate each statement based on this equation:
-
Charles can take a 6-hour trip for less than $400.
- Calculation: \( y = 50(6) + 75 = 300 + 75 = 375 \)
- This statement is true because $375 is less than $400.
-
Charles pays $300 for a 3-hour trip.
- Calculation: \( y = 50(3) + 75 = 150 + 75 = 225 \)
- This statement is false because he would pay $225, not $300.
-
Charles can go on a 1-hour fishing trip for less than $100.
- Calculation: \( y = 50(1) + 75 = 50 + 75 = 125 \)
- This statement is false because he would pay $125, which is not less than $100.
-
For $200, Charles can travel for 2 hours.
- Calculation: \( y = 50(2) + 75 = 100 + 75 = 175 \)
- This statement is false because he would only pay $175 for a 2-hour trip, so he can't travel for 2 hours for just $200.
Therefore, the only correct prediction based on the line of best fit is:
- Charles can take a 6-hour trip for less than $400.