The system size dependence of baryon-strangeness (BS) correlations ($C_{BS}$) are investigated with a multiphase transport (AMPT) model for various collision systems from $mathrm{^{10}B+^{10}B}$, $mathrm{^{12}C+^{12}C}$, $mathrm{^{16}O+^{16}O}$, $mathrm{^{20}Ne+^{20}Ne}$, $mathrm{^{40}Ca+^{40}Ca}$, $mathrm{^{96}Zr+^{96}Zr}$, and $mathrm{^{197}Au+^{197}Au}$ at RHIC energies $sqrt{s_{NN}}$ of 200, 39, 27, 20, and 7.7 GeV. Both effects of hadron rescattering and a combination of different hadrons play a leading role for baryon-strangeness correlations. When the kinetic window is limited to absolute rapidity $|y|>3$, these correlations tend to be constant after the final-state interaction whatever kind of hadrons subset we chose based on the AMPT framework. The correlation is found to smoothly increase with baryon chemical potential $mu_B$, corresponding to the collision system or energy from the quark-gluon-plasma-like phase to the hadron-gas-like phase. Besides, the influence of initial nuclear geometrical structures of $alpha$-clustered nuclear collision systems of $mathrm{^{12}C+^{12}C}$ as well as $mathrm{^{16}O+^{16}O}$ collisions is discussed but the effect is found negligible. The current model studies provide baselines for searching for the signals of Quantum Chromodynamics (QCD) phase transition and critical point in heavy-ion collisions through the BS correlation.
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