Answer:
[tex]\text{The formula is }k=\frac{D}{at}-\frac{2}{t}[/tex]
Step-by-step explanation:
Given the formula D=a(2+kt)
we have to express k in terms of D,a and t
[tex] D=a(2+kt)[/tex]
Divide by a on both both sides
[tex]\frac{D}{a}=2+kt[/tex]
Subtracting 2 from both sides
[tex]\frac{D}{a}-2=kt[/tex]
Divide by t throughout the equation
[tex]\frac{1}{t}(\frac{D}{a}-2)=k[/tex]
[tex]k=\frac{D}{at}-\frac{2}{t}[/tex]
[tex]\text{The formula is }k=\frac{D}{at}-\frac{2}{t}[/tex]