okay in an experiment involving the dissolving of a peppermint at varying water temperatures where the rate law is:

rate(g/sec)= k M^{2/3}

;and in this experiment due to the candy's spherical shape the surface area = 4(pi)r^{2}, what exactly is the algebraic relationship between the rate and the surface area?

is the relationship relatively similar to the similarity between

y=mx+b and ln[A]_{t}= -kt + ln[A]_{0}

or is it more complex? Assistance and elaboration please.