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Determine whether the function represents exponential growth or exponential decay.$f\left(t\right)=\frac{1}{3}\left(1.26\right)^t$

Determine Whether The Function Represents Exponential Growth Or Exponential Decayflefttrightfrac13left126rightt class=

Sagot :

For an exponential function of the form:

[tex]y=a\cdot b^x[/tex]

a = Initial value

b = growth factor = 1 + r

r = Rate of change

So:

[tex]\begin{gathered} f(t)=\frac{1}{3}(1.26)^t \\ b=1+r=1.26 \\ so\colon \\ r=1.26-1 \\ r=(1.26-1)\times100 \\ r=26 \end{gathered}[/tex]

Answer:

26%

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