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

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

__

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

For c=68, d=1/2.

The Danes were enjoying prosperity, after having conquered many other tribes through battle, Shield Sheafson as their leader. He is described as a 'scourge of many tribes, / a wreaker of mead-benches, rampaging among foes' (lines 4-5).

Explanation: