The invention discloses a method for constructing and using a mathematical model for saving hot water for bathing, and belongs to the technical field of controlling hot water injection. The method includes determining the water surface heat dissipation formula, the water surface heat dissipation formula includes convective heat dissipation and evaporative heat dissipation, the water surface heat dissipation formula is the sum of the values of the convective heat dissipation and evaporative heat dissipation, determining the time point when hot water is added, and determining the expression of the water temperature in the bathtub after the hot water is injected Based on the least square method, the water temperature cooling model is established, and the mathematical model of the injection time of hot water is established. The models established by the modeling method of the present invention are simple, easy to understand, convenient for programming and calculation, improve work efficiency, and can solve practical problems excellently, and not only solve the problems to a certain extent through the analysis of actual data , and can also provide reference experience for establishing a more reasonable model based on the comparison between the analysis results and the actual situation. In particular, the hot water injection time variation model can be widely generalized.