The equation y = 250 \times 1.04^x models o exponential

Osvaldo Apodaca

Osvaldo Apodaca

Answered question

2022-01-20

The equation y=250×1.04x models
o exponential growth.
o exponential decay.
The rate of growth/decay is
O 4%.
O 96%.
O 104%.

Answer & Explanation

Melissa Moore

Melissa Moore

Beginner2022-01-20Added 32 answers

we have the given equation as
y=f(x)=250(1.04)x
we have to identify whether it is an exponential growth rate or decay rate
we also have to calculate its percentage
we have the function as
y=f(x)=250(1.04)x
it can also be written as
y=f(x)=250(1+0.04)x... eq(i)
the standard equation for exponential growth/decay rate is
y=f(t)=x0(1+r)t
where,
f(t) is the value at time t
x0 is the initial value at time ​​​​​​​t=0
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
compare eq(i) with the standard equation
x0=250
r=0.04=4%
t=x
as we can see r>0,
so this is an exponential decay rate
rate of decay,
r=0.04
r=0.04×100
r=4%

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