The taxi fare in a city is such that Rs 50 is 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
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Step-by-step explanation:
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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