A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs. They sold each ticket for $45. Let y represent the net profit (in dollars) when they have sold x tickets. Which of the following information about the graph of the relationship is given? Choose 1 answer: (A) Slope and x-intercept (B) Slope and y-intercept (c) Slope and a point that is not an intercept (D) x-intercept and y intercept (E) y-intercept and a point that is not an intercept (F) Two points that are not intercepts

Question

A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs. They sold each ticket for  $45. Let  y represent the net profit (in dollars) when they have sold  x tickets. Which of the following information about the graph of the relationship is given? Choose 1 answer: (A) Slope and  x-intercept (B) Slope and  y-intercept (c) Slope and a point that is not an intercept (D)  x-intercept and  y intercept (E)  y-intercept and a point that is not an intercept (F) Two points that are not intercepts

Bytelearn · Accepted Answer

Understand Relationship: Understand the relationship between the number of tickets sold and the net profit. The net profit (y) is determined by the number of tickets sold (x) minus the production costs. The production costs are covered by selling the first 18 tickets, which means that the net profit starts at $0 when 18 tickets are sold.Determine Slope: Determine the slope of the relationship. The slope represents the rate of change of the net profit with respect to the number of tickets sold. Since each ticket is sold for $45, the slope is $45 per ticket.Determine Y-Intercept: Determine the y-intercept of the relationship. The y-intercept is the net profit when no tickets are sold. Since the organization needs to sell 18 tickets to cover production costs, the y-intercept is the negative value of the production costs. To find this, we multiply the number of tickets needed to cover costs (18) by the price per ticket ($45), which gives us a y-intercept of -18 * $45 = -$810.Determine X-Intercept: Determine the x-intercept of the relationship. The x-intercept is the number of tickets sold when the net profit is $0. We already know that they need to sell 18 tickets to break even, so the x-intercept is 18.Identify Given Information: Identify the given information based on the graph. We have determined both the slope ($45 per ticket) and the x-intercept (18 tickets). Therefore, the information given about the graph of the relationship is the slope and the x-intercept.

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