A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function S(t) = 273(1.073)t , where the t represents the number of years since the study started. Based on the function, what is the growth rate? A) 1 B) 0.073 C) 1.073 D) 273

Option B

Growth rate is 0.073

Solution:

Given that,

A study of the annual population of gray squirrels in a Texas state park shows the population, S(t), can be represented by the function:

where the t represents the number of years since the study started

We have to find the growth rate

The growth function is given as:

Where,

a is the initial value

r is the growth rate

t is the number of years

Therefore, on comparing we get,

Thus the growth rate is 0.073

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

cheater

step-by-step explanation: