Respuesta :
1. Given that "c" and "d" vary inversely, you need to remember that the form of an equation of an Inverse Variation is:
[tex]y=\frac{k}{x}[/tex]Or, in this case:
[tex]d=\frac{k}{c}[/tex]Where "k" is the Constant of variation.
Knowing that:
[tex]d=2[/tex]When:
[tex]c=17[/tex]You can substitute values into the equation and solve for "k":
[tex]\begin{gathered} 2=\frac{k}{17} \\ \\ 2\cdot17=k \\ \\ k=34 \end{gathered}[/tex]Now you know that the equation that models the variation is:
[tex]d=\frac{34}{c}[/tex]2. In order to find the value of "d" when:
[tex]c=68[/tex]You need to substitute that value into the equation and then evaluate:
[tex]\begin{gathered} d=\frac{34}{68} \\ \\ d=\frac{1}{2} \end{gathered}[/tex]Hence, the answers are:
1.
[tex]d=\frac{34}{c}[/tex]2.
[tex]d=\frac{1}{2}[/tex]