The optimization of the relation between performance and energy consumption is a strong requirement mainly in high performance environments. The top 10 Green500 supercomputers use accelerators/coprocessors as primary approach to increase the performance while reducing energy consumption. This paper presents a study on the main factors that impact this relationship, evaluating and comparing Intel programming models on an Intel Xeon Phi coprocessor architecture. The methodology applied in this work consists of evaluating performance and energy consumption on execution scenarios using Linpack and HPL 2.1 benchmarks. These scenarios consider various environment parameters and execution on the Intel host, offload and native programming models. Experimental results indicate that the host and offload models are more efficient in the performance per energy consumption relationship with shared memory and distributed memory, whereas the native model demonstrated better efficiency in energy consumption.