48.3k views
18 votes
100 Points for some help

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.

g(n) = 10(1.02)

What is the average rate of change of the function g(n) from n=1 to n=5? Please show all work.

User Rxx
by
7.9k points

2 Answers

12 votes
  • Find values at n=1 and 5 then subtract


\\ \tt\hookrightarrow g(1)=10(1.02)^1=10(1.02)=10.2


\\ \tt\hookrightarrow g(5)=10(1.02)^5=11.04

Subtract:-


\\ \tt\hookrightarrow 11.04-10.2


\\ \tt\hookrightarrow 0.84

Average rate of change:-

  • 0.84/5-1=0.84/4=0.21
User Popstack
by
8.1k points
4 votes

Answer:

  • 0.21

Explanation:

Given equation:

  • g(n) = 10*(1.02)ⁿ

Find the difference of g when n = 1 and n = 5:

  • g(5) - g(1) =
  • 10*(1.02)⁵ - 10*(1.02)¹ =
  • 0.84 (rounded)

Divide the above number by the difference of 5 and 1:

  • 0.84 / (5 - 1) =
  • 0.84 / 4 =
  • 0.21
User Payam Asefi
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories