Final answer:
The student's question is unclear, as it seems to be a list of pairs of numbers without a clear pattern. To write an equation, more context or a discernible pattern is needed, which could be linear or another type of relationship. Algebraic rearrangement or regression analysis could be employed depending on the additional information or goal of the exercise.
Step-by-step explanation:
The student seems to be looking for a way to create an equation based on a sequence or a set of given pairs. The provided pairs appear as follows: 360/0, 300/10, 240/20, 180/30, 120/40. However, without a clear pattern or additional information, it is not possible to determine what type of equation the student is seeking. If the goal is to find a linear relationship, we would need to plot these points and see if they form a straight line.
If these pairs represent (y/x) values, we could use regression analysis to find a line of best fit. To do this, we would enter the data into a calculator or computer. The linear equation should then be obtained, possibly with software that can handle statistical computations and rounding to four decimal places.
The information about algebraic rearrangement and solving for a variable suggests that the student might be working on a problem involving an equation and solving for a particular variable. This could involve steps like dividing each side of an equation by a number and then multiplying by another to isolate the desired variable.