Question

The taxi fare in city is such that Rs50 is the fixed amount and Rs16 per km is charged .Taking distance x km and totaj fare as Rs.y . Write linear equation in x y .What is the total fare for 20km ?

Answer 1

Let distance be x km and the total fare be y rs
   y=50+16x
 
   y=50+16(20)
   
   y=50+320
  
   y=370rs

Answer 2

Concept

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant.

Given

fixed fare of taxi = ₹50

fixed amount charged per km = ₹16

Find

we need to calculate the total fare for 20 km.

Solution

let x represent the distance traveled.

and y represent the total fare.

we get the required linear equation as,

total fare = fixed taxi fare × charge per km × distance

y = 50 ₊ 16x

y = 50 ₊ 16(20)

y = 50 ₊ 320

y = 370

hence we get the total fare for travelling 20 km as ₹370

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