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23 July, 12:10

Maria rented a coat at $285 for 3 days. If she rents the same coat for 6 days, she has to pay a total rent of $510.

Write an equation in the standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.

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  1. 23 July, 12:23
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    The situation above is an arithmetic sequence with the third term (a3) equal to $285 and sixth term (a6) equal to $510. To determine the nth term of the arithmetic sequence, use the equation,

    an = a1 + (n - 1) d

    where a1 is the first term and d is the common difference. To solve for these, use the given values,

    285 = a1 + (3-1) (d)

    510 = a1 + (5 - 1) (d)

    Solving for the unknowns gives an answer of a1 = 60 and d = 112.5. Thus, the equation is,

    y = 60 + 112.5x
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