Brittany2896
contestada

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________​

Respuesta :

MrRoyal

Answer:

[tex]f(t)= 27000 * 0.965^t[/tex]

Step-by-step explanation:

Given

[tex]a = 27000[/tex] -- initial

[tex]r = 3.5\%[/tex]

Required

The exponential equation

The exponential equation is

[tex]y =ab^t[/tex]

Where

[tex]b=1 -r[/tex]

We used minus, because the rate decreases..

So, we have:

[tex]b=1 -3.5\%[/tex]

[tex]b=1 -0.035[/tex]

[tex]b=0.965[/tex]

So:

[tex]y =ab^t[/tex]

[tex]y = 27000 * 0.965^t[/tex]

Hence:

[tex]f(t)= 27000 * 0.965^t[/tex]

Otras preguntas