A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.
Complete one column of the table with prices where popcorn is priced at a constant rate. That is, the amount of popcorn is proportional to the price of
the bag. Then complete the other column with realistic example prices where the amount of popcorn and price of the bag are not in proportion.
volume of popcorn (ounces) price of bag, proportional ($) price of bag, not proportional ($)
10 6 6
20
35
48
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We can see that each additional pie adds $10 to the total cost, and that each total includes a $3 additional cost, maybe representing a delivery fee. In this situation, 8 pies will cost 8 · 3 + 10 and a total cost of $63 means 6 pies were ordered.
In this unit, we will see many situations like this one, and will learn how to use diagrams and equations to answer questions about unknown amounts.
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