Question

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

Answer 1

Answer and Step-by-step explanation:

$Greetings!$

$I'm~here~to~answer~your~question!$

$\bold{NOTE:}~We~ can ~say~ that ~two ~variables~ are~ inversely ~proportional ~to ~each` other\\ when ~when ~the ~quantity ~of ~one ~decreases, ~the ~quantity ~of~ the~ other\\ increases.~ For~ example, ~when ~the ~speed ~increases, ~the ~time ~to~ complete\\ a ~trip ~decreases.$

$\underline{\bold{It~is~given~that:}}$

$d = 2 \\c = 17$

$\underline{\bold{Inverse~ equation ~is ~like~ this:}}$

$\boxed{~~c=\frac{k}{d}~ ~} ~~where ~k ~is~ the ~constant~ value.$

$17=\frac{k}{2}$

$12 \times 2=k$

$34=k$

$\underline{\bold{Now~ for ~part~ b:}}$

$c=\frac{k}{d}$

$c \times d=k$

$d=\frac{k}{c}$

$d=\frac{34}{68}$

$d=0.5$

$\bold{The ~value ~of~ d~ is~ 0.50}$

$\underline{\bold{To~check:}}$

$c=\frac{k}{d}$

$c=\frac{34}{0.5}$

$c=68$

$\bold{Thus,~the~answer~is~correct!}$