Final answer:
To assess which of Charlotte's websites has greater user engagement per dollar spent, evaluate ratios of user actions per dollar and time spent per dollar. By comparing these ratios, Charlotte can identify which site offers better user engagement efficiency.
Step-by-step explanation:
The student is asking for help in determining which of Charlotte's two entertainment websites has more user engagement per single dollar expense. This is a problem of efficiency and optimization, which falls under the category of Economics, a subset of Mathematics at this level. To solve this, one would typically evaluate two different types of ratios: (1) the number of user engagement actions per dollar, and (2) the time users spend engaged on the site per dollar spent. The first definition focuses on the quantity of actions (such as clicks or interactions) and the second on the duration of user engagement.
In order to determine which website has more user engagement per dollar, we would need data on the costs associated with running each website and measures of user engagement. Once we have those figures, calculating the ratios for both definitions would be straightforward: for definition 1, divide the number of engagement actions by the cost; for definition 2, divide the total time spent by users by the cost. The website with the higher ratio in each case exhibits higher user engagement per dollar according to that definition. If both calculations provide the same website as having a higher ratio, then the result for which site has more user engagement per dollar would be consistent across both definitions. Without actual data, we can't determine which website is performing better; this answer merely provides the method for doing so.