Question

Please Help!!

Suppose c and d vary inversely, and d=2 when c=17.

a. Write an equation that models the variation.
b. Find d when c=68

Answer 1

Answer:

• cd = 34
• d = 1/2

Step-by-step explanation:

(a) When two quantities vary inversely, their product is the constant of variation:

  d = k/c   →   cd = k

For d=17 and c=2, k = 2·17 = 34

Then the equation can be written as ...

  cd = 34 . . . or . . . d = 34/c

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(b) d = 34/68 = 1/2 . . . . . put c=68 into the above equation to find d

For c=68, d=1/2.