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?

Question

amaris6919 · Answer

what lesson is this.

anonymous · Answer

linear equations

texaschic101 · Answer

y = popcorn and x = ticket
y + 4x = 56
y + 6x = 80

these are the equations you will use...do you prefer substitution or elimination ?

texaschic101 · Answer

oh...read the q wrong....do you have answer choices ?

amaris6919 · Answer

yes the answer choices will be great can you show them

anonymous · Answer

y=12x+8
y=12x+24
y=4x+6
y=14x+28

texaschic101 · Answer

(4,56)...x1 = 4 and y1 = 56
(6,80)...x2 = 6 and y2 = 80

slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (80 - 56) / (6 - 4)
slope(m) = 24/2
slope(m) = 12

y = mx + b
slope(m) = 12
(4,56)...x = 4 and y = 56

56 = 12(4) + b
56 = 48 + b
56 - 48 = b
8 = b

y = 12x + 8 <==answer

amaris6919 · Answer

y= 12x + 8 is the answer