Question

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

Answer 1

Answer:

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Answer 2

$\LARGE{\color{royalblue}{\textsf{\textbf{✎Δnsɯer࿐}}}}$

∫fg′=fg−∫f′g

f =arccos(x), g′ =x/√1−x^2

f′ =−1/√1−x2, g =−√1−x2

= −√1−x2arccos (x)−∫1 dx

Now solve: ∫1 dx, apply constant rule: =x

Plug in our solved integrals:

−√1−x2arccos(x)−∫1dx =−√1−x2arccos(x)−x

Thus the answer is:

−√1−x2arccos(x)−x+C