When a bucket is filled 3/8 of its capacity its weight is 10 Kg. If it is filled 3/5 of its capacity,

its weight is 14

1 thought on “When a bucket is filled 3/8 of its capacity its weight is 10 Kg. If it is filled 3/5 of its capacity, <br /><br />its weight is 14”

1. Step-by-step explanation:

   We can convert these fractions to exact decimals

   3/8 = .375

   3/5 = .6

   :

   Assign the values as follows

   x1 = .375; y1 = 10

   x2 = .600; y2 = 14.5

   :

   Find the slope m = y2-y1/x2-x1

   m = 14.5-10/6-375 = 4.5/225 = 20

   :

   Use the point/slope form to construct an equation: y – y1 = m(x – x1)

   y – 10 = 20(x – .375)

   y – 10 = 20x – 7.5

   y = 20x – 7.5 + 10

   y = 20x + 2.5, is the equation

   :

   Bucket is full when x = 1

   y = 20(1) + 2.5

   y = 22.5 kg for a full bucket

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