Answer :
Final answer:
A scatter plot of a theater owner monthly increasing the ticket price and earning higher profit would show a rising line with a positive slope if the demand remains constant or increases. However, if the rise in prices leads to lower demand, the scatter plot might display a rise, a peak, and then a decline.
Explanation:
In this scenario of a theater owner progressively increasing the price of a ticket by $25 every month, if 'x' represents the number of months and 'y' represents the profits, the scatter plot could be represented as a rising line. This is assuming that the demand remains constant or increases. However, if the increase in prices results in fewer audience members, potentially turning to alternative, cheaper entertainment options, the plot could look more like a peak and then fall.
If every month is associated with a $25 increase in cost and a corresponding increase in profit, we expect a positive slope as time goes by. This is because with every month (increasing x-values), the profit (y-values) should also be increasing, creating a plot of points that rise from left to right.
However, it's equally important to consider how the audience responds to these increases over time. If customers begin to reject the growing costs and stop coming to the theater, profits could stagnate or decrease. In that case, after a certain number of months, the scatter plot might rise, reach a peak, and then begin to fall as the audience's willingness to pay decreases.
Learn more about Scatter Plot here:
https://brainly.com/question/29231735
#SPJ11
