Problema Solution
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. Which equation represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
Answer provided by our tutors
Let
'p' represent the cost of bucket of popcorn.
't' represent the cost per ticket
Then we can write for 'y':
y = tx + p
Now we will find 'p' and 't' using:
4t + p = 56
6t + p = 80
........
click here to see the system of equations solved for t and p
........
t = 12
p = 8
Plug the values for 'p' and 't' into y = tx + p:
y = 12x + 8
The equation that represents the relationship between y, the total cost of the popcorn and movie tickets, and x, the number of movie tickets is y = 12x + 8.