SweetBriar
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Please help with these questions!
can someone walk this through with me?

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to plot the growth function?

Part B: What does the y-intercept of the graph of the function f(n) represent?

Part C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent?

Respuesta :

f(n)=8(1.05)n
where n is number of days
1) f(n)is given=11.26 cm
11.26=8.4n
11.26/8.4=n
n=1.34 days
domain is 1.34
2)
f(n)=8(1.05)n
lets say f(n)=y and x=n
y=8(1.05)x
that is standard form of quadratic equation
y=mx+c
here no c in y=8(1.05)x
so no y intercept

3) f(n)=8(1.05)n
at n=2
f(2)=16.8

n=6
f(6)=50.4
rate of change=change in function/change in number of days
R=50.4-16.8/6-2
R=8.4
it represent slope


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