the taxi fare in city is as follows. for the first kilometre the fare is rupees 8 and for the subsequent distance it is rupees 5 per kilomet

Question

the taxi fare in city is as follows. for the first kilometre the fare is rupees 8 and for the subsequent distance it is rupees 5 per kilometre. taking the distance as x kilometre and total fare is as rupees y write a linear equation for this statement. Also find the fair for traveling distance 10km​

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Remi 1 month 2021-08-15T08:47:17+00:00 1 Answer 0 views 0

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    2021-08-15T08:48:24+00:00

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    9th

    Maths

    Linear Equations in Two Variable

    Linear Equations

    The taxi fare in a city is …

    MATHS

    The taxi fare in a city is as follows: For the first kilometre, the fare is 8 and for the subsequent distance it is 5 per km. Taking the distance covered as x km and total fare as Rs.y, write a linear equation for this information and draw its graph.

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    VIDEO EXPLANATION

    ANSWER

    x 0 1 2

    y 3 8 13

    Taxi fare for first kilometer = Rs. 8

    Taxi fare for subsequent distance = Rs. 5

    Total distance covered =x

    Total fare =y

    Since the fare for first kilometer = Rs.8

    According to problem,

    Fare for (x–1) kilometer = 5(x−1)

    So, the total fare y=5(x−1)+8

    ⇒y=5(x−1)+8

    ⇒y=5x–5+8

    ⇒y=5x+3

    Hence, y=5x+3 is the required linear equation.

    Now the equation is

    y=5x+3 …(1)

    Now, putting the value x=0 in (1)

    y=5×0+3

    y=0+3=3 So the solution is (0,3)

    Putting the value x=1 in (1)

    y=5×1+3

    y=5+3=8. So the solution is (1,8)

    Putting the value x=2 in (1)

    y=5×2+3

    y=10+3=13. So the solution is (2,13)

    HOPE IT HELPS YOU ✌️✌️

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