This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses applications of proportions. By the end of the module students should be able to solve proportion problems using the five-step method.
Section overview
The Five-Step Method
Problem Solving
The five-step method
In
[link] we noted that many practical problems can be solved by writing the given information as proportions. Such proportions will be composed of three specified numbers and one unknown number represented by a letter.
The first and most important part of solving a proportion problem is to determine, by careful reading, what the unknown quantity is and to represent it with some letter.
The five-step method
The five-step method for solving proportion problems:
By careful reading, determine what the unknown quantity is and represent it with some letter. There will be only one unknown in a problem.
Identify the three specified numbers.
Determine which comparisons are to be made and set up the proportion.
Solve the proportion (using the methods of
[link] ).
Interpret and write a conclusion in a sentence with the appropriate units of measure.
Step 1 is extremely important. Many problems go unsolved because time is not taken to establish what quantity is to be found.
When solving an applied problem,
always begin by determining the unknown quantity and representing it with a letter.
Problem solving
Sample set a
On a map, 2 inches represents 25 miles. How many miles are represented by 8 inches?
The unknown quantity is miles.
Let
number of miles represented by 8 inches
The three specified numbers are
2 inches
25 miles
8 inches
The comparisons are
2 inches to 25 miles →
8 inches to x miles →
Proportions involving ratios and rates are more readily solved by suspending the units while doing the computations.
In step 1, we let
represent the number of miles. So,
represents 100 miles.
If 2 inches represents 25 miles, then 8 inches represents 100 miles.
Try
[link] in
[link] .
what's the difference between a firm and an industry
Abdul
firm is the unit which transform inputs to output where as industry contain combination of firms with similar production 😅😅
Abdulraufu
Suppose the demand function that a firm faces shifted from
Qd 120 3P
to
Qd 90 3P
and the supply function has shifted from
QS
20 2P
to
QS
10 2P .
a) Find the effect of this change on price and quantity.
b) Which of the changes in demand and supply is higher?
Demand curve shows that how supply and others conditions affect on demand of a particular thing and what percent demand increase whith increase of supply of goods
Israr
Hi Sir please how do u calculate Cross elastic demand and income elastic demand?
Abari
Got questions? Join the online conversation and get instant answers!