STANDARD F.LE.A.1
AI
Distinguish between situations that can be modeled with linear functions and with exponential functions.
a. Justify that a function is linear because it grows by equal differences over equal intervals, and that a function is exponential because it grows by equal factors over equal intervals.
b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another, and therefore can be modeled linearly. e.g., A flower grows two inches per day.
c. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another, and therefore can be modeled exponentially. e.g., A flower doubles in size after each day.
Please pay attention specifically to Linear Vs Exponential Functions