Final answer:
Henrietta should choose aluminum for the frying pan as it has the highest rate of heat conduction listed. To design a pan with thermal properties like silver using a less expensive material, one should consider the thickness and choice of material while balancing the heat capacity.
Step-by-step explanation:
When choosing a metal for manufacturing a frying pan with the best rate of heat conduction, it's essential to consider the thermal conductivity values for the materials in question. The values in the question seem incorrect from a scientific perspective, as copper typically has a higher thermal conductivity than aluminum. However, based on the context provided, where the metals are listed with certain thermal conductivity values, aluminum (D) with a value of 0.900 would be the best choice as it has the highest listed conductivity. For designing a pan that matches the thermal conductivity of one made from silver, one must consider other factors such as thickness and material used. The heat capacity can also play a role, which is the amount of energy required to raise the temperature of the material; more material mass means more heat capacity.