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6. A local movie theater sells an annual popcorn bucket for $25. The bucket can be re-filled an unlimited number of times for an additional

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6. A local movie theater sells an annual popcorn bucket for $25. The bucket can be re-filled an unlimited number of times for an additional charge. The following graph shows how the amount spent on popcorn and the number of popcorn bucket refills are related. Use the graph to complete parts a-g. [18 pts] Total annual amount spent on popcorn (in $) 90 80 70 60 50 40 30 201 1 2 3 4 5 6 7 B 9 10 11 12 13 14 15 16 Number of popcorn bucket refills a. Is the graph above an example of (circle one) linear growth or exponential growth. b. Identify the independent and dependent variables. Independent Variable Dependent Variable c. What is the rate of change? (Use the triangle or the slope formula and include units.) Rate of change (with units)_ d. Complete the statement to express the rate of change in words: For every 1 popcorn bucket refill purchased the annual amount spent on popcorn by $ (Choose one: increases or decreases) e. Create the linear model for this situation in slope-intercept form (y = mx + b). Y= . f. If a customer buys a popcorn bucket and purchases 12 refills this year, what will her total amount spent on popcorn be? (Show some work in the graph or using the equation from part e.) $ g- If a customer's total annual amount spent on popcorn is $130, how many refills did they buy? (hint: use the equation you found in part e.) refills

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