SOLUTION: Please help me with this problem: A 5 mile taxi ride costs $5.25 and a 10 mi ride costs $8.75. Express the taxi cost as a function of the trip length. Then determine the cost of a

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Question 392044: Please help me with this problem: A 5 mile taxi ride costs $5.25 and a 10 mi ride costs $8.75. Express the taxi cost as a function of the trip length. Then determine the cost of a 23 mi ride.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me with this problem:
A 5 mile taxi ride costs $5.25 and a 10 mi ride costs $8.75.
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Two points: (5,5.25) (10,8.75)
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Express the taxi cost as a function of the trip length.
slope = (8.75-5.25)/(10-5) = 3.50/5 = 0.70
Intercept = ?
5.25 = 0.7*5 + b
b = 5.25-3.50
b = 1.75
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C(x) = 0.7x+1.75
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Then determine the cost of a 23 mi ride.
C(23) = 0.7*23+1.75
C(23) = $17.85
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Cheers,
Stan H.
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