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The taxi fare in a city …

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The taxi fare in a city is as follows for the first km the fare is 8km and for the subsequent distance it is 5per km taking the distance covered as x km and total fare as y write a linear equation for this information and draw it graph

Posted by Deepti Mayee Pradhan Dipa 6 years, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Divyansh Dixit 6 years, 7 months ago

The expression for the given question will be 8+5(x-1)=y.

0Thank You

Gaurav Seth 6 years, 7 months ago

Total distance covered = x km
Total fare = Rs y
Fare for the first kilometre = Rs 8
Subsequent distance = (x – 1) km
Fare for the subsequent distance = Rs 5(x – 1)
According to the question,
y = 8 + 5 (x – 1)
⇒ y = 8 + 5x – 5
⇒ y = 5x + 3
Table of solutions

x	0	1
y	3	8

We plot the points (0, 3) and (1, 8) on the graph paper and join the same by a ruler to get the line which is the graph of the equation y = 5x + 3.

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