Explain why a table represents exponential growth

Answer 1

A table can represent exponential growth because each row or column in the table typically increases by a constant ratio or factor. In exponential growth, the rate of increase becomes progressively larger over time. This means that each successive value in the table will be a multiple of the previous value, resulting in a pattern of growth that accelerates rapidly.

For example, if a table shows the population of a city doubling every 10 years, each successive row in the table will be twice as large as the previous row. This exponential growth pattern is represented by a constant ratio of growth, which can be displayed in a table format.

Overall, a table can effectively illustrate exponential growth by showing the increasing values in an organized and structured manner, allowing for easy comparison and analysis of the growth pattern.