Linear and exponential growth problems are all about understanding and comparing scenarios like the ones above. Show me how they compare!

Exponential vs. linear growth: review Linear and exponential relationships differ in the way the y -values change when the x -values increase by a constant amount:

For constant increments in x, a linear growth would increase by a constant difference, and an exponential growth would increase by a constant ratio.

Linear growth occurs at a constant rate, with equal increments added or subtracted over time, while exponential growth involves a constant multiplier that drives an increase or decrease …

Sal constructs functions that model the growth of trees over time. To do that, he identifies which growth is linear and which is exponential.

If we compare linear and exponential growth, we will see that over time, *any* exponential growth will surpass *any* linear growth, no matter how steep it is.

The graph of the exponential function that best models the data is also shown. Which of the following best describes the percent by which the number of shares increased each day?

Exponential vs. linear growth: review Linear and exponential relationships differ in the way the y -values change when the x -values increase by a constant amount:

Watch Sal work through a basic Linear and exponential growth problem.

Here's a sneak preview – don't worry if you don't understand all of it yet: We'll explore exponential growth and logistic growth in more detail below.