Q19 of 70 Page 280

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?

Fixed amount = Rs 50


Charges for 1 km = Rs 16


Charges for 2 km = Rs 16 × 2 = Rs 32


Charges for x km = Rs 16 × x = Rs 16x


Total fare = y = Fixed amount + Charges for x km


= Rs 50 + Rs 16x


Therefore, the linear equation is, y = 50 + 16x


Now, to find the total fare for 20 kms, put x = 20 in y = 50 + 16x


⇒ y = 50 + 16 × 20


⇒ y = 50 + 320


⇒ y = 370


Therefore, the total fare for 20 km is Rs 370


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