Question

1. Judy took $24 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $3. The price of each drink was $4. This can be represented by the equation 3x + 4y = 24

(a) Sketch the graph that represents the situation. Use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph and what the intercepts mean

Answer 1

If the y axis is the amount of popcorn purchased, and the x axis is the amount of drinks purchased, the y intercept would be 8 and the x intercept would be 6. then make a line through the following points.

Explanation:

The intercepts mean that if Judy only wanted popcorn, she could use the

y intercept or 8 popcorns. If she only wanted to buy drinks she could buy 6 drinks, or the x axis.