The regression equation you found for the water lilies is y = 3.915(1.106)x.

In terms of the water lily population change, the value 3.915 represents:

The value 1.106 represents:

Respuesta :

Answer:

The value of 3.915 is the initial number

of water lilies.

It is approximately 4, which matches

the data.

The value 1.106 is the growth rate.

The rate represents growth for each day.

The percentage growth each day is 10.6%

Step-by-step explanation:

on edge

The value 3.915 represents initial population of water lilies)  

The value 1.106 represents the exponential growth

The standard exponential equation is expressed as [tex]y=ab^x[/tex] where:

  • a is the initial value
  • b is the rate
  • x is the time taken

The value of b determines if the exponential function is decay or growth

  • If b < 1, the function will be an exponential decay
  • If b > 1, the function will be an exponential growth

Given the exponential function [tex]y = 3.915(1.106)^x[/tex]

Compared with the general equation

a = 3.915 (This represents the initial population of water lilies)

b = 1.106 (This represents exponential growth)

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