If \(b=\dfrac{c+d^2}{c}\) and \(a=\dfrac{c}{d^2},\) what is \(b\) in terms of \(a?\)

[Vincen]

If \(b=\dfrac{c+d^2}{c}\) and \(a=\dfrac{c}{d^2},\) what is \(b\) in terms of \(a?\)

A. \(1+\dfrac1{a}\)

B. \(1+a\)

C. \(\dfrac1{1+a}\)

D. \(a^2+1\)

E. \(\dfrac{a}{a+1}\)

Answer: A

Source: Princeton Review