Question

Eddie went to see the new Taylor Swift movie. The movie theather charges for a ticket to see the movie and then charges $3 per snack. By the time Eddie was done a the movies, he spent a total, y, of $20 and purchased 4 snacks, x. A. Write an equation that models the scenario. B. Find the price Eddie paid for a ticket to the movies (y-intercept). C. What is another possible number of snacks and total cost Eddie would have paid?

Answer 1

(A) y = mx +b

(B) $8

(C) y = 5, m = 0, x = 12, b = 5 (among others)

Explanation:

Lets let x = 3 to represent the charge per snack

y = 20 to represent his total charge

m = 4 to represent the number of snacks he bought

b = the price of the ticket

in this question, the total (y) is equivalent to the product of the number of snacks Eddie bought and the price of each snack plus the charge of his ticket.

y = mx +b (A)

This is convenient because it's the standard equation of a line.

The price of the ticket can be found by solving for b and plugging in our other values.

b = y - mx = 20 - 4*3 = 8 (B)

C doesn't seem to give any restrictions on what numbers would be valid, so any set of numbers which follow the equation established in A would work.

y = 11, m = 1, x = 5, b = 6

11 = 1*5 + 6

y = 50, m = 10, x = 4, b = 10

50 = 10*4 + 10

y = 5, m = 0, x = 12, b = 5

5 = 0*12 + 5

etc