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
To determine the percent change in price, solve for the differences between the original prices and the sale prices. Then, divide the difference by the original price and multiply by 100%.