The solutions to the question are given by
a)
When the marine scientist had finished her research on the fish, the length of the specimen averaged roughly 5.98 cm. Determine a suitable domain for the growth function plot.
b)
Acceptable range for the plotting of the growth function = [0, 8].
c)
Average rate = 0.40125 centimeters
What does the y-intercept of the graph of the function f(m) represent?
Generally, the equation for is mathematically given as
a)Given: A marine researcher is examining the development of a certain kind of fish in their natural environment.
f(m) = 3(1.09)^m
When the marine scientist had finished her research on the fish, the length of the specimen averaged roughly 5.98 cm. Determine a suitable domain for the growth function plot.
b) What does it mean when the graph of the function f(m) has an intercept on the y-axis?
The function f(average )'s rate of change from the value of m = 2 to the value of m = 8
Solution:
f(m) = 3(1.09)^m
m = 0
f(0) = 3(1.09)^0
f(0)= 3 cm
The fish measured about 5.98 centimeters in length.
5.98 =3(1.09)^m
Therefore
[tex]m=\frac{ln 1.993}{ln1.09}[/tex]
m=8.00
Domain = [0 , 8]
Acceptable range for the plotting of the growth function = [0, 8].
c)
In conclusion, The y-intercept of the graph of the function f(m) represents the starting length of the fish, which is equal to 5 centimeters.
The function f(average )'s rate of change from the value of m = 1 to the value of m = 8
m = 1 => f(1) = 3(1.07)^1 = 3.21 cm
m = 8 => f(9) = 3(1.07)^8 = 5.15 cm
Change in 8 months (8 -1) is 3.21 centimeters (9.19 - 5.35).
Average rate of change of the function f(m) from m = 1 to m = 9
Average rate = (3.21/8)
Average rate = 0.40125 centimeters each calendar month
Read more about a marine biologist
https://brainly.com/question/13487811
#SPJ1
