SupremeNerdx

17.03.2020 •

Mathematics

A rectangular page contains 24 sq. in of print. The margins at the top and bottom of the page are each 1.5 inches. The margins on each side are 1 inch. What should the dimensions of the page be so that the least amount of paper is used?

Solved

Show answers

Ответ:

kateferguson9852

27.06.2021

Mathematics

Part A) The average rate of change of section A is 6 and the average rate of change of section B is 24

Part B) The average rate of change of Section B is 4 times greater than the average rate of change of Section A. see the explanation

Step-by-step explanation:

Part A) Find the average rate of change of each section

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

$\frac{f(b)-f(a)}{b-a}$

In this problem we have

Section A

a=1

b=2

f(a)=f(1)=3(2)^1=6

f(b)=f(2)=3(2)^2=12

Substitute

$\frac{12-6}{2-1}=6$

Section B

a=3

b=4

f(a)=f(3)=3(2)^3=24

f(b)=f(4)=3(2)^4=48

Substitute

$\frac{48-24}{4-3}=24$

Part B) How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other

Divide the average rate of change section B by the average rate of change of Section B

$\frac{Section\ B}{Section\ A}=\frac{24}{6}$

$\frac{Section\ B}{Section\ A}=4$

$Section\ B=(4)*Section\ A$

The average rate of change of Section B is 4 times greater than the average rate of change of Section A.

One rate of change is greater than the other, because it is an exponential function and the slope grows bigger.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice