Judy took $30 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 $5. the price of each drink was half the price of a bag of popcorn.

(a) sketch the graph that represents the situation and label the intercepts. use one axis to represent the number of bags of popcorn and the other axis to represent the number of drinks.

*i just really need to figure out the graphing points.*

Givens

Eventhough the problem doesn't say the numer of items Judy bought, we can create a linear graph to represent all possibilities.

The independent variable is popcorn, and drins is the dependent variable.

This situation can be expressed as

Where is drinks and is popcorn. According to the problem, Judy has a maximum of 30 dollars, and she is going to spend, that's why popcorn and drinks are negative terms.

The image attached shows the graph of this expression. It shows a decreasing function because the amount of money is going to decrease.

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

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step-by-step explanation: