Question

if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10

Answer 1

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Answer:

• cd = 25/3
• d = 5/6

Explanation:

The inverse variation described can be either of ...

c = k/d

or

d = k/c

Either way, the equation can also be written as ...

cd = k

For the given values of c and d, the value of k is ...

(5)(5/3) = k = 25/3

So, the model can be written as ...

cd = 25/3

or

d = (25/3)/c

__

For c=10, the value of d is ...

d = (25/3)/10 = 25/30

d = 5/6