Answer
(a) The slope means that lowering the price by $2.50$ increases attendance by 1,000 people. The y-intercept means that nobody attends when tickets are $50$.
(b) Ticket sales would decrease at a quicker rate in response to increases in ticket prices.
(c) Ticket sales would rise proportionally for every ticket price.
Work Step by Step
(a) The slope represents the changes per unit - in this case, it’s the increase in attendance per decrease in cost. 1,000 more people attend for every $2.50$ decrease in cost. The y-intercept gives us the value for 0 people attending, since 0 is the x-coordinate. In this situation, at a ticket price of $50$, 0 people attend.
(b) If the slope were steeper, for example, -5, then 1,000 more people would attend for every $5$ decrease in cost. Essentially, less people would buy tickets- at a ticket price of $0$, for the -5 slope example, 10,000 people would attend rather than the 20,000 attendees of the original table.
(c) When the y-intercept increases, the entire graph shifts upward. This leads to a proportional rise in ticket sales.
