1. Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

The equation of the relationship is 2x + 4y = 45 and the graph is attachedHow to sketch the graph?From the question, we have the following parameters:Amount = $45Price of each bucket of popcorn = $4Price of each drink = Half the price of each bucket of popcorn This means thatPrice of each drink = Half $4EvaluatePrice of each drink = $2Represent the number of drinks with x and the number of bucket of popcorn with ySo, we have the following representationTotal amount of popcorn + Total amount of drinks = Total amountThis gives2x + 4y = 45Next, we sketch the graphSee attachment for the graph of the equationThe explanation of the graphThe graph is represented by a straight lineThis means that it is a linear equationAlso, the graph touches the axes at (0, 11.25) and (22.5, 0)This means that the highest number of drinks and buckets are 11.25 and 22.5 respectivelyRead more about linear equations athttps://brainly.com/question/2030026#SPJ1