The equation for the line given on the graph is y = 30x , the correct option is (c) .
In the question ,
it is given that
the cable length varies directly with the amount of time it passes .
let the cable length that is wound on the spool be " y " , and
let the time it passes be " x " .
since they vary directly , it can be denoted by
y ∝ x
So , the equation is , y
k*x
from the graph we see that when x = 1 , the value of y is 30 .
On substituting x = 1 and y = 30 in the equation y = k*x
we get ,
30 = k*1
So , k = 30 .
Substituting k = 30 , we get
the equation as y = 30x .
Therefore , The equation for the line given on the graph is y = 30x .
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