IM Alg1.5.2 Lesson: Patterns of Growth
Which one doesn't belong?
A food company currently has 5 convenience stores. It is considering 2 plans for expanding its chain of stores. Plan A: Open 20 new stores each year. Use technology to complete a table for the number of stores for the next 10 years, as shown here.
What do you notice about the difference from year to year?
If there are stores one year, how many stores will there be a year later?
What do you notice about the difference every 3 years?
If there are stores one year, how many stores will there be 3 years later?
Plan B: Double the number of stores each year. Use a technology to complete a table for the number of stores for the next 10 years under each plan, as shown here.
What do you notice about the difference from year to year?
What do you notice about the factor from year to year?
If there are stores one year, how many stores will there be a year later?
What do you notice about the difference every 3 years?
What do you notice about the factor every 3 years?
If there are stores one year, how many stores will there be 3 years later?
Suppose the food company decides it would like to grow from the 5 stores it has now so that it will have at least 600 stores, but no more than 800 stores 5 years from now.
Come up with a plan for the company to achieve this where it adds the same number of stores each year.
Come up with a plan for the company to achieve this where the number of stores multiplies by the same factor each year. (Note that you might need to round the outcome to the nearest whole store.)
Here are verbal descriptions of 2 situations, followed by tables and expressions that could help to answer one of the questions in the situations.
Match each representation (a table or an expression) with one situation. Be prepared to explain how the table or expression answers the question.
