A population numbers 16,000 organisms initially and grows by 15.8% each year. (A) Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P: = = a b where a 16000 and b= (B) Use logs to determine the number of years until the population reaches 64,000 organisms. Round answer to 2 decimal places. t= years

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1
A population numbers 16,000 organisms initially and grows by 15.8% each year.
(A) Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
a 16000
and b=
-6:
Z
(B) Use logs to determine the number of years until the population reaches 64,000 organisms. Round answer to
2 decimal places.
FI
t=
Check Answer
2
W
years
S
F2
X
#3
80 F3
E
D
C
54
$
000
000 F4
R
F
%
5
V
T
G
MacBook Air
A^
6
B
F6
Y
&
7
H
A
F7
U
N
*
► 11
8
J
F8
-
M
9
K
F9
1
V
0
Transcribed Image Text:✓ Q 1 A population numbers 16,000 organisms initially and grows by 15.8% each year. (A) Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a b where a 16000 and b= -6: Z (B) Use logs to determine the number of years until the population reaches 64,000 organisms. Round answer to 2 decimal places. FI t= Check Answer 2 W years S F2 X #3 80 F3 E D C 54 $ 000 000 F4 R F % 5 V T G MacBook Air A^ 6 B F6 Y & 7 H A F7 U N * ► 11 8 J F8 - M 9 K F9 1 V 0
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