Question

Sebastian learned a total of 220 appetizer recipes over the course of 44 weeks of culinary school. After 88 weeks of culinary school, how many total appetizer recipes will Sebastian know? Assume the relationship is directly proportional.

Answer 1

Sebastian will know 440 recipes.

Explanation:

Since we can assume that the relationship of the situation is directly proportional, proportional relationships are described as:

`y=kx`

Then, if he learned 220 appetizers in 44 weeks, after 88 weeks;

`\begin{gathered} (220)/(44)=(x)/(88) \\ x=(88\cdot220)/(44) \\ x=440\text{ } \\ \text{ Sebastian will know 440 recipes} \end{gathered}`