7. The taxi fare in a twon is Rs 10 for the first kilometre and Rs 6 per km for the subsequent distance. Taking the distance as �x� km and total fare as Rs. y, write a linear equation for this information, what will be the total fare for 15 km?
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Answer:
Given,
Taxi fare for first kilometer = Rs. 10
Taxi fare for subsequent distance = Rs. 6
Total distance covered = x
Total fare = y
Since the fare for first kilometer = Rs. 10
According to problem,
Fare for (x - 1) kilometer = 6(x-1)
So, the total fare = 6(x-1) + 10
y = 6(x-1) + 10
y = 6x - 6 + 10
y = 6x + 4
Hence, y = 6x + 4 is the required linear equation.
x
-1
0
1
y
-2
4
10
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