Answer and Step-by-step explanation:
[tex]Greetings![/tex]
[tex]I'm~here~to~answer~your~question![/tex]
[tex]\bold{NOTE:}~We~ can ~say~ that ~two ~variables~ are~ inversely ~proportional ~to ~each` other\\ when ~when ~the ~quantity ~of ~one ~decreases, ~the ~quantity ~of~ the~ other\\ increases.~ For~ example, ~when ~the ~speed ~increases, ~the ~time ~to~ complete\\ a ~trip ~decreases.[/tex]
[tex]\underline{\bold{It~is~given~that:}}[/tex]
[tex]d = 2 \\c = 17[/tex]
[tex]\underline{\bold{Inverse~ equation ~is ~like~ this:}}[/tex]
[tex]\boxed{~~c=\frac{k}{d}~ ~} ~~where ~k ~is~ the ~constant~ value.[/tex]
[tex]17=\frac{k}{2}[/tex]
[tex]12 \times 2=k[/tex]
[tex]34=k[/tex]
[tex]\underline{\bold{Now~ for ~part~ b:}}[/tex]
[tex]c=\frac{k}{d}[/tex]
[tex]c \times d=k[/tex]
[tex]d=\frac{k}{c}[/tex]
[tex]d=\frac{34}{68}[/tex]
[tex]d=0.5[/tex]
[tex]\bold{The ~value ~of~ d~ is~ 0.50}[/tex]
[tex]\underline{\bold{To~check:}}[/tex]
[tex]c=\frac{k}{d}[/tex]
[tex]c=\frac{34}{0.5}[/tex]
[tex]c=68[/tex]
[tex]\bold{Thus,~the~answer~is~correct!}[/tex]
