Question

-15,.3 .0.5,.7 POPCORN A movie theater sells popcorn in a reusable bucket for $2.50. They offer refils for each. Write an equation in slope-intercept form to model the cost in dollars, y, for x refills.

Answer 1

The slope-intercept form to represent the total cost of refills, y, for a given number of refills, x, at a movie theater that sells popcorn refills for $2.50 each is y = 2.50x.

Step-by-step explanation:

The problem pertains to creating a mathematical equation that models the cost of refills a customer has for a reusable popcorn bucket at a movie theater. We are given that each refill costs $2.50. The number of refills is represented by the variable x and the total cost, or output, is represented by the variable y.

Our goal is to write an equation in the form y = mx + b where in our situation, m is the cost of the refill, $2.50, and b is the initial cost, which is $0 since the question does not mention any initial cost beyond the refills.

So, the equation in the slope-intercept form that models the total cost of the refills is y = 2.50x + 0, or simply put, y = 2.50x.

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