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) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 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)

Answer 1

@misssunshinexxoxo

Answer 2

Are you familiar with x and y intercepts?

Answer 3

yes cutie

Answer 4

What is the height of the plant? "the height of the plant was approximately 11.04 cm"

Answer 5

That's your y intercept

Answer 6

yes so do we plug that in the equation that they give us

Answer 7

and ok

Answer 8

f(1) = 10.02 f(5) = 11.041
m(ave) = (11.041 - 10.02) / (5 - 1) = 0.255 cm/day

Answer 9

so that whole thing would be part A

Answer 10

It's all three

Answer 11

Domain is 0 through 5

Answer 12

What is the height of the plant?

Answer 13

oh ok thank you your the best <3

Answer 14

11.04cm

Answer 15

That's B^

Answer 16

y intercept

Answer 17

yeah

Answer 18

hey for part B what would the f(n) represent

Answer 19

@misssunshinexxoxo

Answer 20

The starting height of the plant

Answer 21

oh ok that makes sense thank you

Answer 22

so for the final part the function is going to look like this
f(n)=10(1.02)^1
f(n)=10(1.02)^5

Answer 23

@misssunshinexxoxo