Final answer:
Without sufficient information or the specific constant of proportionality, we cannot accurately calculate the lasagna's temperature at exactly 15 minutes after removal from the oven. The prediction would require information on the cooling process, such as exponential decay and the lasagna's specific thermal properties.
Step-by-step explanation:
The temperature of the lasagna when taken out of the oven at 350°F cooled to 291.3°F in 7 minutes within a kitchen that is 73°F. Assuming the cooling of lasagna can be modeled by Newton's Law of Cooling, which states that the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature, we can predict future temperature changes. However, without complete information such as the constant of proportionality or the exact nature of the cooling process (exponential decay), further calculations for the exact temperature at 15 minutes cannot be made. For a detailed analysis, one would need to use differential equations to determine the law adhering to this specific situation.
Given these constraints and the absence of sufficient information, one cannot accurately predict the temperature of the lasagna at 15 minutes post-oven, as the rate of diameter changes in heat over time is not provided. Predicting the temperature relies on specific factors including the thermal properties of the lasagna, the specific heat capacity of its ingredients, the dish in which it is contained, and the ambient temperature of the environment, which requires more information or experimental data.