Ellie and morgan go to the movie theater and purchase refreshments for their friends. ellie spends a total of $36.50 on 7 bags of popcorn and 2 drinks. morgan spends a total of $155.50 on 9 bags of popcorn and 14 drinks. write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Ellie:
Total spending = $36.50
Number of popcorn bags bought = 7
Number of drinks bought = 2

Morgan:
Total spending = $155.50
Number of popcorn bags bought = 9
Number of drinks bought = 14

Part 1:
If
P = Price of one popcorn bag
D = Price of one drink
Then,
For Ellie: 7P + 2D = 36.50
For Morgan: 9P + 14 D = 155.50

Set of equations:
7P + 2D = 36.5 (1)
9P + 14D = 155.5 (2)

Part 2:
Solving equations (1) and (2)
Multiply (1) by 7 and subtract (2) from resulting equation;
49P + 14D = 255.5
9P + 14D = 155.5

40P = 100
P = 100/40 = 2.5

From eqn (1),
7*2.5 + 2D = 36.5
17.5 +2D = 36.5
2D = 19
D = 19/2 = 9.5

Therefore,
Bag of popcorn costs $2.50 

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.