Respuesta :

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

[tex]\begin{gathered} Since\text{ c and d are inversely proportional to each other.} \\ This\text{ means that:} \\ c\text{ }\propto\text{ }\frac{1}{d} \\ \text{c =}\frac{k}{d}\text{ , where k is a constant} \\ Now\text{ d= 2 and c = 17 , we have that:} \end{gathered}[/tex][tex]\begin{gathered} 17\text{= }\frac{k}{2} \\ This\text{ implies that:} \\ \text{k = 17 x 2 = 34} \end{gathered}[/tex]

PART ONE:

The equation that models the variation is:

[tex]\text{c =}\frac{34}{d}[/tex]

PART TWO:

The value of d when c = 68;

[tex]\begin{gathered} 68\text{ =}\frac{34}{d} \\ Making\text{ d the subject of the formulae, we have that:} \\ \text{d =}\frac{34}{68}=\text{ }\frac{1}{2} \\ Hence,\text{ d = }\frac{1}{2} \end{gathered}[/tex]

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