Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (2 points)
f(x) = 5.9 ⋅ 1.01x

We know that an exponential function is given by:

where a is the initial amount and b is called the base and x is called the exponent.

and if b>1 then the function is a growth function

and if 0<b<1 then the function is a decay function.

Here we have the function f(x) as:

Here b=1.01>1

Hence, the function is an exponential growth function.

Also,

the growth rate is: r

where 1+r=1.01

i.e.  r=0.01

which in percent is: 1%  ( Since 0.01×100=1% )

the correct answer is x/3+10≥32

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