SOLUTION: The amount of money that it costs to ride in a taxi cab in Miami is based on the distance driven in miles and can be represented by a linear model. You take two taxi rides. The f

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The amount of money that it costs to ride in a taxi cab in Miami is based on the distance driven in miles and can be represented by a linear model. You take two taxi rides. The f      Log On


   

Question 947199: The amount of money that it costs to ride in a taxi cab in Miami is based on the distance driven in miles and can be represented by a linear model. You take two taxi rides. The first travels 12 miles and costs you $24.85 and the second travels 5 miles and costs $12.25.
Write an equation expressing the miles driven (M) as it relates to the final cost (C).
Predict the cost of a taxi ride that travels 30 miles.
How far did a taxi travel if the final cost is $31.15?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1st taxi:
+C+=+%28+24.85+%2F+12+%29%2AM+
+C+=+2.07M+
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2nd taxi:
+C+=+%28+12.25+%2F+5+%29%2AM+
+C+=+2.45M+
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(a)
For 1st taxi:
+M+=+30+
+C+=+2.07%2A30+
+C+=+62.1+
$62.10
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For 2nd taxi:
+M+=+30+
+C+=+2.45%2A30+
+C+=+73.5+
$73.50
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(b)
For 1st taxi:
+C+=+31.15+
+31.15+=+2.07%2AM+
+M+=+15.05+ mi
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For 2nd taxi:
+31.15+=+2.45%2AM+
+M+=+12.71+ mi