Question

Judy took $42with her to spend on popcorn and drinksfor herselfand her friends at the movie theater. The price for eachbag of popcorn was $6. The price of each drink was half the price of a bag of popcorn. (a)Sketch the graph that represents the situationand label the intercepts.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.

Answer 1

- each popcorn bag is $6
- each drink is half the price of a popcorn bag, so 6/2 = $3 for each drink

since she has $42, calculate the maximum # of popcorn bags if she *only* spends money on popcorn, then calculate the maximum # of drinks if she *only* spends money on drinks

after that, graph

Answer 2

any integer combination of drinks and bags either on the line, or below the line, is something she can buy without going out of her budget