A three wheeler scooter charges Rs 15 for first kilometer and Rs 8 each for every subsequent kilometer . For a distance of x km, an amount

Question

A three wheeler scooter charges Rs 15 for first kilometer and Rs 8 each for every subsequent kilometer . For a distance of x km, an amount of Rs y is paid. Choose the correct linear equation representing the above information.

Y = 8x + 7

Y = 7x + 8

Y = 15x + 8

Y = 8x + 15

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Brielle 1 month 2021-08-18T19:17:25+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-18T19:19:09+00:00

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    Required Answer:

    ✒ GiveN:

    A scooter charges some amount for travelling

    • Rs. 15 for first kilometer.
    • Rs.8 for subsequent kilometer
    • Considered kilometers = x
    • Considered amount = y

    ✒ To FinD:

    • What can be the linear equation for this situation.

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    Explanation and Solution:

    We are provided with some basic informations from which we have to frame the linear equation in two variables.

    ➙ Distance travelled given = x

    • Then, first kilometer = 1
    • Subsequent kilometers = x – 1

    ➙ Then, Total amount paid = Amount for first kilometer + Amount for subsequent kilometers

    • Amount for first kilometer = Rs. 15
    • Amount paid for subsequent kms = Rs.8/km
    • So, Total for subsequent kms = 8(x 1)
    • Total amount paid = Y

    So, our equation would be,

    ➝ Y = 15 + 8(x – 1)

    ➝ Y = 15 + 8x – 8

    Y = 8x + 7

    So, The correct option is (A)

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    0
    2021-08-18T19:19:19+00:00

    Correct Answer is ⇒ Y = 8x + 7

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     \tt \: kms \: \: \: \: \: \: \: \: \: \: \: cost \\ \tt \: \: 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 \\ \tt \: \: 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 + 8 \\ \tt \: \: 3\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 + 2(8) \\ \tt \: \: 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 + 3(8) \\ \: \: \tt 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 + 4(8) \\ \tt \: \: . \\ \tt \: \: . \\ \tt \: \: . \\ \tt \: \: . \\ \tt \: \: . \\ \tt \: \: x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15 + (x - 1)8 = y \\ \\ \fbox{ \color{red} \tt y =15 + (x - 1)8 } \\ \\ \tt \: y = 15 + 8x - 8 \\ \\ \fbox{ \color{red} \tt y = 8x + 7}

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