To determine which response can be made based on the line of best fit \( y = 50x + 75 \), where \( y \) is the price and \( x \) is the number of hours, we can analyze each statement:
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For $200, Charles can travel for 2 hours. \[ y = 50x + 75 \implies 200 = 50(2) + 75 \implies 200 = 100 + 75 \implies 200 \neq 175 \] This statement is false.
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Charles can go on a 1-hour fishing trip for less than $100. \[ y = 50(1) + 75 = 50 + 75 = 125 \] This statement is false because the cost is $125, not less than $100.
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Charles can take a 6-hour trip for less than $400. \[ y = 50(6) + 75 = 300 + 75 = 375 \] This statement is true because the cost is $375, which is less than $400.
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Charles pays $300 for a 3-hour trip. \[ y = 50(3) + 75 = 150 + 75 = 225 \] This statement is false because the cost is $225, not $300.
Based on this analysis, the only accurate prediction is:
Charles can take a 6-hour trip for less than $400.