To analyze the predictions based on the equation of the line of best fit, \( y = 50x + 75 \), where \( y \) is the price of the trip and \( x \) is the length of the trip in hours, we can evaluate each response:
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Charles can go on a 1-hour fishing trip for less than $100.
- To find the price for a 1-hour trip, substitute \( x = 1 \): \[ y = 50(1) + 75 = 50 + 75 = 125 \]
- This is not less than $100.
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Charles can take a 6-hour trip for less than $400.
- For a 6-hour trip, substitute \( x = 6 \): \[ y = 50(6) + 75 = 300 + 75 = 375 \]
- This is less than $400.
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For $200, Charles can travel for 2 hours.
- For a 2-hour trip, substitute \( x = 2 \): \[ y = 50(2) + 75 = 100 + 75 = 175 \]
- This is not equal to $200.
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Charles pays $300 for a 3-hour trip.
- For a 3-hour trip, substitute \( x = 3 \): \[ y = 50(3) + 75 = 150 + 75 = 225 \]
- This is not equal to $300.
Based on the evaluations, the only correct prediction is:
Charles can take a 6-hour trip for less than $400.