Question

Alberta purchases a new flower and finds that it is 12 inches tall. She also begins tracking its height

over time and finds that it grows at a rate of 2.3%. If Alberta wants to continue to track it's growth,
which function would she use in order to do so?

Answer 1

exponential function

`f(x) = 12 \cdot 1.023^t`

Explanation:

General exponential function
`f(x)=a \cdot b^x`

where a is the initial value, b is the rate of increase/decrease (growth/decay factor), and t is time

Given:

• a = 12
• b = 102.3% = 1.023

`f(x) = 12 \cdot 1.023^t`