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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?


Sagot :

Answer:

exponential function

[tex]f(x) = 12 \cdot 1.023^t[/tex]

Step-by-step explanation:

General exponential function [tex]f(x)=a \cdot b^x[/tex]

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

[tex]f(x) = 12 \cdot 1.023^t[/tex]