Question 62418: find the constant rate of increase k, when the expotential function consist of x values of 0,1,2,3,4,5. and y values 2,4,8,16,32,64
Answer by uma(370)   (Show Source):
You can put this solution on YOUR website!
Let the exponential function be y = K p^x
Plugging in x = 1 and y = 4 in the above we get 4 = K p ------------(1)
Plugging in x = 2 and y = 8 in the above equation,
8 = K p^2 ------------------------(2)
Dividing (2) by (1) we get..
8/4 = K p^2/Kp
==> 2 = p
So the exponential function becomes..
y = K 2^x
Plugging in x = 5 and y = 64 in the above,
64 = K 2^5
==> 64 = 32K [ 2^5 = 32]
==> 64/32 = 32k/32
==> 2 = k
Thus the constant rate of increase k = 2
Good Luck!!!
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