Log in

View Full Version : Raffle Tickets


nannie54
Oct 2, 2011, 12:35 PM
I have listed all so you would know where the questions are coming from.
I believe the x-intercepts are -0.903 and 60.903. Y- intercept is 11 vertex is (30.0, 191.0)
1. A quadratic equation that models the expected number of ticket sales for each day x. (x=1 is the day tickets go on sale).
Tickets= -0.2x?+12x+11 (Is this right?)
A.Does the graph of this equation open up or down? How did you determine this?
If a<0 the graph opens down.
a=-0.2, so the graph would open down because, the parabola is less than 0.
(Is this right?)
B. Describe what happens to the tickets sales as time passes.
I know they rise and peak but I am not sure how to show it!
C. Use the quadratic equation to determine the last day that tickets will be sold.
How would I show this problem?
Note. Write your answer in terms of the number of days after ticket sales begin.
D. Will tickets peak or be at a low during the middle of the sale? How do you know?
E. After how many days will the peak or low occur?
F. How many tickets will be sold on the day when the peak or low occurs?
G. What is the point of the vertex? How does this number relate to your answers in parts e. And f.
Point of vertex is 30 and 191
-0.2(30)?+12(30)+11=0 (-0.2 ?900)+360+11=0
-180+360+11=180 180+11=0 180+11=191
H. How many solutions are there to the equation -0.2x?+12x+11? How do you know?
I. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Unknown008
Oct 2, 2011, 11:50 PM
I'm still confused as to what was given to you, given that the questions are testing whether you have the correct equation or not later on...

But taking what you gave:
1. Correct
A. Correct
B. Describe, not show. They rise then peak, it's good. Just add when they rise, when they peak, when they decline and when there is no more. Use your graph to get to know the timings. Y is the number of tickets and t is the number of days.

C. Well, I already added to part B.

D. Find the 'middle of the sale', that is the point between the start and the end, and see whether the peak is before, at or after that middle point.

E. Already mentioned in B.

F. Already mentioned in B.

G. Here is why I'm questioning the data. You already have that point.

Why are you equating to zero? Equating to zero is when you want to find the x-intercepts here. Since you substituted x = 30, why are you substituting y = 0?

H. A solution is an x-intercept basically. If there were two curves, the solution would be the point(s) where the graphs intercept each other.

I. I'll leave that to you. It's an inference question and you have to post whatever you think should make sense. Post it here, and we'll come back at you telling you whether you're right or whether there are things that need to be changed.