Answer:
(d) 55% decay
Explanation:
You want to know the growth rate and whether it is growth or decay when the growth is described by ...
h(x) = 32(0.45^x)
Exponential growth
An exponential growth equation looks like ...
h(x) = h₀(growth factor)^x
Where the growth factor is ...
growth factor = 1 + growth rate
Growth rate
The given equation tells us the growth factor is 0.45. Then the growth rate is ...
0.45 = 1 + growth rate
growth rate = 0.45 -1 = -0.55 = -55%
The constant percent rate of change is -55%. It is negative, so represents decay (not growth). (Matches choice D.)
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