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) = 15(1.04)n

Part A: When the scientist concluded his study, the height of the plant was approximately 20.53 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Question

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) = 15(1.04)n

Part A: When the scientist concluded his study, the height of the plant was approximately 20.53 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

anonymous · Answer

please help!!!

anonymous · Answer

@TheSmartOne

anonymous · Answer

can you help please!!

anonymous · Answer

@tkhunny

anonymous · Answer

@dan815

tkhunny · Answer

1) STOP tagging people while showing NO WORK at all.  Just don't do it.

2) Ponder $15\cdot 1.04^{x} = 20.53$.  What is the meaning of 'x'?  Solve for it.

3) Ponder $f(0)$.  What does it mean?  Shall we use negative values for 'n'?  How long will 4% growth be a reasonable approximation to the plant growth?

anonymous · Answer

ok sorry for tagging im new here

anonymous · Answer

x will be 8?

anonymous · Answer

no you dont use negative numbers for the domain right??

tkhunny · Answer

Very good.  Now, answer the questions.

anonymous · Answer

what should i put can you give me an example?

anonymous · Answer

please just help me to right the answer here