Question

A movie theater sells popcom in bags of different sizes. The table shows thevolume of popcom and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning. *volume of popcorn (ounces)price of bag ($)10620835114813.6Your answer

Answer 1

First, we need to find the pattern behind these values. The given table is

Ounces Price-

10 6

20 8

35 11

48 13.6

We need to find the slope with points (10,6) and (35,11), and using the formula

$m=\frac{11-6}{35-10}=\frac{5}{25}=\frac{1}{5}$

This means for each dollar we can by 5 ounces of popcorn. If they wan to offer 60 ounces, the price would be

$60\cdot\frac{1}{5}=12$

Therefore, a good price would be $12.