The taxi fare in a city is such that Rs 50 is the fixed amount and Rs 16 per km is charged. Taking the distance covered as x km and total fare as Rs y, write a linear equation in x and y. What is the total fare for 20 km?

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Solution

Given: Taxi fare in the city (fixed amount) = Rs 50
Taxi fare per km = Rs 16
Distance covered = x km
Total fare = Rs y
Therefore, fare charged per km = Rs 16x
Hence,
Total fare = y = 50 + 16x
Hence, the linear equation: y = 50 + 16x

Total fare for 20 km:
Putting x = 20 in the linear equation, we get:
y = 50 + 16 $\times$ 20 = 50 + 320 = Rs 370

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