200 30125x Initial value 30 growth or decay Growth growth or

200= 30(1.25)^x

^{Initial value: 30}

^{growth or decay: Growth}

^{growth or decay Rate:_______}

^{30= 200 (.75})^x

Initial ^{value: 200}

^{growth or decay: decay}

^{growth/decay Rate:_____}

Solution

200 = 30(1.25)^x

Growth

We have to equate this to
A = A0 * e^(rt)

Comparing, we have
e^r= 1.25

r = ln(1.25)

Growth rate = 0.22314355 ---> ANS

IF this doesnt work try 0.25

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30 = 200(0.75)^x

Decay

e^r = 0.75

r = ln(0.75)

r = -0.287682 ---> ANS

If this doesnt wotk, try -0.25