Question
A store has 1000 books, and is adding 600 more each year. Is this linear or exponential?
Answers
GPT-4o mini
The situation described is linear.
In a linear relationship, the quantity increases by a constant amount over equal intervals of time. Here, the store starts with 1000 books and adds 600 more each year, which means the total number of books increases by a constant 600 every year.
In contrast, an exponential relationship would involve the quantity increasing by a constant percentage or factor, leading to growth that accelerates over time. For example, if the store added a percentage of the current number of books each year, that would be exponential growth.
In this case, since the increase is a constant addition (600 books each year), it is linear growth.
In a linear relationship, the quantity increases by a constant amount over equal intervals of time. Here, the store starts with 1000 books and adds 600 more each year, which means the total number of books increases by a constant 600 every year.
In contrast, an exponential relationship would involve the quantity increasing by a constant percentage or factor, leading to growth that accelerates over time. For example, if the store added a percentage of the current number of books each year, that would be exponential growth.
In this case, since the increase is a constant addition (600 books each year), it is linear growth.