SOLUTION: 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 14.5 kg. How much will its weight be when it is filled to the ful

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Question 563573: 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 14.5 kg. How much will its weight be when it is filled to the full capacity?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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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 14.5 kg.
How much will its weight be when it is filled to the full capacity?
:
We can convert these fractions to exact decimals
3%2F8 = .375
3%2F5 = .6
:
Assign the values as follows
x1 = .375; y1 = 10
x2 = .600; y2 = 14.5
:
Find the slope m = %28y2-y1%29%2F%28x2-x1%29
m = %2814.5-10%29%2F%28.6-.375%29 = 4.5%2F.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