suppose a varies jointly with b and c and inversely with d and a=400 when b=16, c=5 and d=2. write the equation that models the relationship. please show all steps

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sarahlanee1 sarahlanee1

31-03-2017
Mathematics

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suppose a varies jointly with b and c and inversely with d and a=400 when b=16, c=5 and d=2. write the equation that models the relationship. please show all steps

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taskmasters taskmasters · Answer 1 · 2017-04-13T03:02:17+02:00

For this item, we represent first the proportionality constant by the variable k. Being directly proportional to both b and c, these variable will be in numerator and d will be in the denominator. That is,
a = kbc / d
Substituting the known values,
400 = k(16)(5) / (2)
The value of k is 10. The equation that models the relationship is therefore,
a = 10bc/d