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| PAGE: 591 | SET: Exercises | PROBLEM: 23 |
varies directly as 
and varies inversely as 
.
Find when 
and 
and 
when 
and 
.
Consider the values are 
and 
.
Find .
varies directly as , and goes in the numerator and varies inversely as ,and goes in the denominator.
(Solve for 
)
(Set the two proportions equal to each other)
(Substitute 
and 
)
(Cross multiply)
(Simplify)
(Divide each side by 
)
(Cancel common term)
Therefore, the value of is 
.
When 
and 
and the value of 
.
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