To analyze the predictions based on the equation \( y = 4.75x + 5 \), we can calculate the ticket prices for the given distances:
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For 5 miles: \[ y = 4.75(5) + 5 = 23.75 + 5 = 28.75 \] This is less than $29, so the statement "For $29, you can go 5 miles" is True.
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For 8 miles: \[ y = 4.75(8) + 5 = 38 + 5 = 43 \] The statement "It would cost $43 to travel 8 miles" is True.
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For 10 miles: \[ y = 4.75(10) + 5 = 47.5 + 5 = 52.5 \] The statement "You can pay less than $50 to travel 10 miles" is False since it would cost $52.5.
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For 3 miles: \[ y = 4.75(3) + 5 = 14.25 + 5 = 19.25 \] The statement "You can pay just over $20 to go 3 miles" is False since it would cost $19.25.
Summary of Predictions:
- True: You can go 5 miles for $29.
- True: It would cost $43 to travel 8 miles.
- False: You can pay less than $50 to travel 10 miles.
- False: You can pay just over $20 to go 3 miles.