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# Linear and exponential growth — Basic example

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

## Want to join the conversation?

• at why does it allow us to doodoo...?
• dodo mates ......
• how can we tell if its exponential or linear
• for exponential x is the exponent
• One of the practices of the topics gives a question in like this:

P = A(1-n/100)^x

Then, it asks you if this is linear or exponential, and why, and gives you several multiple choice options, the correct one being "This is an exponential equation because x is an exponent of the constant."

My question is this: why is it an exponent of a constant if the only exponent ("x") modifies something that varies based on an input (1- n/100)? How is that a constant? Or is it because "x" modifies "A"?
• The fact that we have a power or exponent (in the form of x), means that this equation is exponential, not linear.
• trick: just input x values in these equations and check for y
• Can someone help define linear and exponential graphs?? I certainly feel like I have no clue about them.....
• if the sat was competitive these comment sections would be warzones
• can't we solve this without checking all equations? how can we write the equation on ourselves?