A charity organization had to sale 18 tickets to their fundraiser Just to cover necessary production cost.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
Answer:
A. Slope and x-intercept
Explanation:
We are told that each Ticket cost $45 , so the number of ticket sold should be multiplied by the cost of 1 ticket , Also; we were informed that x tickets were sold, this implies that the amount will be $45 multiplied by x , which is $45x. To find the profit (y) , 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).
NOW:
Given that :
a charity organization had to sell 18 tickets
and one ticket cost for $45
Then 18 tickets = $45 × 18 = $810
Let y represent the net profit in dollars when they have sold x tickets
So : y = 45 x - 810
Relating the above equation with equation of a straight line y = mx +c ,
where :
m and c = the numbers on the gradient line ; &
y = slope
x = intercept where the graph crosses y - axis
Thus; the information given is the :Slope and x-intercept