Scaling laws of dust, HI gas, and metal mass with stellar mass, specific star formation rate, and metallicity are crucial to our understanding of the build-up of galaxies through their enrichment with metals and dust. In this work, we analyse how the dust and metal content varies with specific gas mass (M_HI_/M_) across a diverse sample of 423 nearby galaxies. The observed trends are interpreted with a set of Dust and Element evolUtion modelS (DEUS) - including stellar dust production, grain growth, and dust destruction - within a Bayesian framework to enable a rigorous search of the multidimensional parameter space. We find that these scaling laws for galaxies with -1.0~<logM_HI/M__~90 per cent) outweighs the fraction of dust grown in the interstellar medium (<10 per cent). Our results provide an alternative for the chemical evolution models that require extremely low supernova dust production efficiencies and short grain growth time-scales to reproduce local scaling laws, and could help solving the conundrum on whether or not grains can grow efficiently in the interstellar medium.

Cone search capability for table J/MNRAS/496/3668/tablea1 (Overview of the dust masses inferred for the JINGLE, HRS, HAPLESS, HiGH and KINGFISH galaxies considered in the scaling relations presented in this work)