Brans type-I black holes is a peculiar spherically symmetric solution found in geometrized gravity theories, since the azimuthal factor of its horizon is divergent or vanishing under the classical approach of r = 2M. However, if we regard that the spherically symmetric solution is available only when all physical quantities of black holes are meaningful, then our investigation would be restricted to a special range of parameters and hence indicate a definite holographic relation to type-I black holes in Brans-Dicke theory. After that, we are able to investigate this holographic relation by making use of the brick-wall method. Drawn a comparison between the arising result and a simulated entropy formula derived from the thermodynamical evolution, a variable cut-off factor α of Brans type-I black holes is ultimately carried out.