Ok I think I got it
Proportions
Two variables x and k are said to be proportional if the relationship between them is:
k = m.x
Where m is the constant of proportionality
We know a paper mill determined that it can produce 60 cases of paper from 16 trees.
Let's call
k = cases of paper
x = number of trees
The independent variable is x and the dependent variable is k. We write the relationship as:
k(x) = m.x
Let's use the provided data to find the value of m:
k(16) = 60
Thus:
60 = m(16)
Solving for m:
m = 60/16 = 3.75
The function is:
k(x) = 3.75 x
We are required to find
k(0) = 3.75 (0) = 0
Obviously, if no trees are used, no cases are produced.
k(10) = 3.75 (10) = 37.5
k(22)= 3.75 (22) = 82.5
k(120) = 3.75 (120) = 450
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