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| PAGE: 268 | SET: Exercises | PROBLEM: 70 |
If 
when 
, find 
when 
.
Find the constant of variation of the equation
The statement 
varies directly as 
, means that when 
increases, 
increases by the same factor.
Hence and always have the same ratio.
The constant of variation of the equation and the slope of the line have the same value.
(Direct variation formula)
Find 
.
(Substitute 
and 
)
(Simplify)
Therefore, the equation is 
.
Find when 
.
(Direct variation of the equation)
(Substitute )
(Multiply)
Therefore, the value of is 
.
The value of 
at is 
.
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