Genotypic and phenotypic adaptation is the consequence of ongoing natural selection in populations and is key to predicting and preventing drug resistance. Whereas classic antibiotic persistence is all-or-nothing, here we demonstrate that an antibiotic resistance gene displays linear dose-responsive selection for increased expression in proportion to rising antibiotic concentration in growing E. coli populations. Furthermore, we report the potentially wide-spread nature of this form of emergent gene expression by instantaneous phenotypic selection process under bactericidal and bacteriostatic antxibiotic treatment, as well as an amino acid synthesis pathway enzyme under a range of auxotrophic conditions. We propose an analogy to Ohm’s law in electricity (V=IR) where selection pressure acts similarly to voltage (V), gene expression to current (I), and resistance (R) to cellular machinery constraints and costs. Lastly, mathematical modelling using agent-based models of stochastic gene expression in growing populations and Bayesian model selection reveal that the emergent gene expression mechanism requires variability in gene expression within an isogenic population, and a cellular ‘memory’ from positive feedbacks between growth and expression of any fitness-conferring gene. Finally, we discuss the connection of the observed phenomenon to a previously described general fluctuation-response relationship in biology.