Question

Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell

popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent
a popcorn machine and it costs $25 to rent a cotton candy maker. The cost of additional
supplies for the popcorn is $0.05 per bag. The additional cost for the cotton candy is $0.10 per
stick. Team A will sell the bags of popcorn for $0.50 each. Team B will sell the cotton candy for
$0.75 per stick.


questions:

Graph the system of equations created for problem #1 on the next page.


At what point do both teams earn the same amount of profit? How do you know and
how much profit is earned?

100 points!!!

Answer 1

The system of equations for this problem can be represented as:

y = 0.50x - 15 (for Team A's popcorn sales)

y = 0.75x - 25 (for Team B's cotton candy sales)

where x represents the number of items sold and y represents the profit earned. To graph the system of equations, we can plot the two lines on the same coordinate plane and find the point where they intersect, which represents the point at which both teams earn the same amount of profit.

At the point of intersection, both teams earn the same amount of profit. To find the profit earned, we can substitute the x-value of the point of intersection into one of the equations and solve for y. The profit earned would be the y-value at the point of intersection.

can't graph sorry