Question

A formula is expressed as D= a(2+kt). Express k in the terms of D, a and t? (Show work)

Answer 1

$SIMPLIFIED \: \: ALGEBRA \\ \\ \\\\We \: are \: given \: - \\ \\ \: \\ D \: = \: a \: ( \: 2 + kt \: ) \\ \\ D \: = \: 2a \: + \: akt \: \\ \\ D \: - \: 2a \: = \: akt \: \\ \\ \frac{D \: - \: 2a}{at} \: = \: k \\ \\ \\ Therefore \: , \: in \: terms \: of \: D \: , \: \: a \:, \: \: and \: \: t \: \\ \\ k \: = \: \frac{D - 2a}{at \: } \: \: \: \: \: \: \: Ans.$