anonymous one year ago Fan and Medal: 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) = 12(1.03)n Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 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 = 3 to n = 10, and what does it represent? (4 points)

1. anonymous

@uri @phi @Australopithecus

2. anonymous

plug in 16.13 for f(n) since that's what represents the height and get the height at that day. And then, I would graph the domain from 0, when planted, till it reached that height. (can't go further, nor into the negatives since days are a positive #). The y intercept occurs when x, or in this case n, = 0. On the 0 day I would assume to plant it, so I'd be the initial height. the average rate of change. def. of average rate of change: $\frac{ y _{1}-y _{2}}{ x _{1}-x _{2}}$ [the #'s would be sub scripts for that definition) so plug in 3 into the function to get f(3) and 10 to get f(10) and then use the formula. = $\frac{ f(10) - f(3) }{ 10 - 3 }$ don't forget your units.

3. anonymous

Thank you so much

4. anonymous

ur welcome...........