To analyze the predictions based on the line of best fit equation \( y = 50x + 75 \), we need to compute the price for different lengths of trips (where \( x \) represents the number of hours).
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For a 6-hour trip: \[ y = 50(6) + 75 = 300 + 75 = 375 \] So, the price for a 6-hour trip is $375, which is less than $400. (This statement is true)
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For a $200 price point (we need to solve \( y = 200 \)): \[ 200 = 50x + 75 \] \[ 125 = 50x \quad \Rightarrow \quad x = \frac{125}{50} = 2.5 \] So, for $200, Charles can travel for 2.5 hours, not 2 hours. (This statement is false)
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For a 3-hour trip: \[ y = 50(3) + 75 = 150 + 75 = 225 \] So, the price for a 3-hour trip is $225, not $300. (This statement is false)
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For a 1-hour trip: \[ y = 50(1) + 75 = 50 + 75 = 125 \] So, the price for a 1-hour trip is $125, not less than $100. (This statement is false)
In conclusion, the true statement from the provided predictions is: Charles can take a 6-hour trip for less than $400.