Respuesta :

JeanaShupp

Answer:  The change represents  growth with 89% of growth rate.

Step-by-step explanation:

The exponential function is given by :-

[tex]f(x)= Ab^x[/tex]... (i)

Where , A = initial value , b= multiplicative factor and  x= time period

  • We call 'b' growth factor when b>1, we can write b= 1+r , where r is the rate of growth.
  • We call 'b' decay factor when b<1 , we can write b= 1-r , where r is the rate of decay.

The given function : [tex]y = 940(1.89)^x[/tex].

By comparing this to (i) , we get

b= 1.89 > 1 , thus it represent the growth.

Also,

[tex]b= 1+r\Rightarrow\ 1.89 = 1+r\\\\\Rightarrow\ r=1.89-1=0.89[/tex]

i.e. Percentage rate of growth = 0.89 x 100 = 89%.

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