A charity organization had to sell 18 tickets to their fundraiser just to cover necessary production costs. They sold each ticke
t 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
(Choice B)
B
Slope and y-intercept
(Choice C)
C
Slope and a point that is not an intercept
(Choice D)
D
x-intercept and y-intercept
(Choice E)
E
y-intercept and a point that is not an intercept
Since each Ticket cost $45 , then the number of ticket sold should be multiplied by the cost of 1 ticket , from the question, it was said that x tickets were sold, i.e the amount will be $45 multiplied by x , which is $45x. To find the profit , then we must find the cost of 18 tickets which will give us the cost price and then subtract it from the selling price ($45x).
The cost of 18 = 18 x $45 = $ 810
profit = $45x - 810
i.e y = 45x -810
clearly, comparing with the equation y = mx +c , we have a slope and y-intercept