Maths-
General
Easy

Question

At time t = 0 , water begins to drip out of a pipe into an empty bucket. After 56 minutes , 8 inches of water are in the bucket What linear function in the form y= mx + b represents the amount of water in inches W, in the bucket after t minute?

hintHint:

Use two – point form

The correct answer is: W = 1/7 t


     Amount of water in bucket = W inches
    Time taken = t min
    Acc. to the question, when t = 0 , W = 0
    And when t = 56 , W = 8
    Using two – point form, equation of the line is
    (y – y1) = m (x – x1)  where  m = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction

    rightwards double arrow m = fraction numerator 8 minus 0 over denominator 56 minus 0 end fraction  =  1 over 7
    Now,  equation of the line is (W – W1) = m (t – t1)
    (W – 0) = 1 over 7 (t – 0)
    W  = 1 over 7 t

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