Respuesta :
Answer:
Find out the what function equation represents the population of the city after t years .
To prove
The population of a city is 451,400. The population is expected to decrease at a rate of 3.2% each year.
This can be represented by exponential decreasing function.
[tex]f(t) = a (1 - r)^{t}[/tex]
Where a is the initial value.
r is the rate in decimal form
t is the time.
Here
a = 451,400
3.2 % is written in the decimal form.
[tex]= \frac{3.2}{100}[/tex]
= 0.032
Put in the formula
[tex]f(t) = 451400 (1 - 0.032)^{t}[/tex]
[tex]f(t) = 451400 (0.968)^{t}[/tex]
Therefore the decrease in the population of the city after t years is represented by
[tex]f(t) = 451400 (0.968)^{t}[/tex]
Answer:
f(t)=451,400(0.968)^t
Step-by-step explanation:
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