Suppose x is sold, $280 each , and y is the total financial cost. The first equation in the system is then certainly y = 280x.
The vertex form <span>y-k = a(x-h)^2 where (h,k) is the vertex, and y is the y-intercept.
So, plug the values in.
</span><span>11,000-24,000 = a(0-500)^2
-13,000=250,000a
a=-0.052
y-</span><span>24,000 = -0.052(x-500)^2
y= </span><span>-0.052(x-500)^2 + 24,000
This is the second equation in the system.
The answer is then A, which contain the system </span><span>of equations which can be used to determine must be sold for the company to make a profit.</span>
Students = 380
Adults = 150
You can get this by using x = students and y = adults. Then set up a cost equation of:
3x + 4y = 1740
and a total tickets equation of
x + y = 530
Solve using any method.
Good question i just can't figure it out!