SOLUTION: A)The table below shows some input-output pairs for an exponential function f x....f(x) 0....21.6 1....3.6 2....0.6 3....0.1 I)Determine the 1-unit growth factor for f. II)D

Algebra ->  Finance -> SOLUTION: A)The table below shows some input-output pairs for an exponential function f x....f(x) 0....21.6 1....3.6 2....0.6 3....0.1 I)Determine the 1-unit growth factor for f. II)D      Log On


   

Question 1128845: A)The table below shows some input-output pairs for an exponential function f
x....f(x)
0....21.6
1....3.6
2....0.6
3....0.1
I)Determine the 1-unit growth factor for f.
II)Determine the 1-unit percent change for F.
III)Determine the initial value for f(the output value when the input is 0.)
IV)Write a function formula for F.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(I) The growth factor is the ratio of any two successive measurements.

0.1%2F0.6+=+1%2F6

The growth factor is 1/6.

(II) The value changes from 1 to 1/6, a decrease of 5/6. The fractional change is -5/6; the percent change is - 83 1/3%.

(III) Given: the initial value (when x=0) is 21.6.

(IV) F(x) = 21.6(1/6)^x

Note: Use the fractional form of the growth factor because it is exact; a decimal would only be an approximation.