SOLUTION: I got this question on my reveiw sheet, can anyone herlp me? Brad sold tickets to a track meet. It cost $6 for an adult ticket and $3 for a student ticket. Let x represent the

Question 123206: I got this question on my reveiw sheet, can anyone herlp me?
Brad sold tickets to a track meet. It cost $6 for an adult ticket and $3 for a student ticket. Let x represent the number of adult tickets sold and let y represent the number of student tickets sold. Find the intercepts. What does each intersept represent?
I guess I need to find the y and x intercepts then tell what the intercepts represent....
HELP!!!!!!!!!!!!!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Brad sold tickets to a track meet. It cost $6 for an adult ticket and $3 for a student ticket. Let x represent the number of adult tickets sold and let y represent the number of student tickets sold. Find the intercepts. What does each intercept represent?
:
I think you are missing something in the way this problem was written, the total
value of the tickets sold has to be known to make logical equation.
:
In order to help you, I will assign a total value of $450 and proceed from there
:
Adult$ + Child$ = 450
:
6x + 3y = 450
:
The best way to understand intercepts, is to graph it
:
Put the equation in the general "y=" form
6x + 3y = 450
3y = 450 - 6x
Divide equation by 3:
y = 150 - 2x
:
Plot the positive values:
for x = 0, then y = 150
for x = 50 then y = 50
:
If you join these coordinates with a straight line it should look this:

:
Notice the intercepts
y intercept occurs when x = 0
That's when only children's tickets are sold. 150 of them 150*3 = $450
:
x intercept occurs when y = 0
That's when only adult tickets are sold. 75 of them; 75 * 6 = $450
:
The rest of the graph is when there is a combination of the two
ie 50 adults, 50 children: (50*6) + (50*3) = $450
:
Did this help you understand this concept?

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