Practice Exponential Growth in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Exponential growth occurs when a quantity increases by a constant multiplicative factor over equal intervals.
Exponential growth means the amount added each period is proportional to the current amount — the bigger it gets, the faster it grows, creating an accelerating curve.
Showing a random 20 of 50 problems.
Example 1
mediumA quantity grows from to over two equal steps. Find the constant multiplier.
Example 2
mediumA YouTube channel grows from to subscribers in years. Assuming exponential growth, find the annual growth rate.
Example 3
mediumAn investment of grows per year. Find its value after years.
Example 4
easyIs growth or decay?
Example 5
easyEvaluate at .
Example 6
mediumSolve for .
Example 7
easyEvaluate at .
Example 8
challengeA starting population of doubles every minute and fills a jar at minute . At what minute is the jar half full?
Example 9
easyA population doubles each year starting at . Write its model.
Example 10
easyWhat is the initial value of ?
Example 11
mediumCompare and at .
Example 12
easyIs growth or decay?
Example 13
easyA quantity grows at per year. What is the growth factor ?
Example 14
easyWhat is the initial value of ?
Example 15
mediumAn investment grows from to in years with continuous compounding. Find the annual growth rate.
Example 16
challengeTwo accounts start at : one earns per year (simple), one earns per year (compound). After 2 years, which is larger and by how much?
Example 17
hardA bank account earns compounded quarterly. Find the effective annual rate.
Example 18
medium$2000 is invested at compounded annually. What is the balance after years?
Example 19
mediumA city's population grows at per year. If the current population is , when will it reach ?
Example 20
hardA population grows continuously according to . How long until the population triples?