Mth126 Week 1 Assignment 1
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Real Life Application Problems
Denise Guilbeault
MAT 126
Instructor Stepp
May 21, 2012
Week 1 Assignment 1
This was an A+ paper...got 100
Real Life Application Problems
The assignment at hand requires me to solve two word problems that pertain to real world applications. In mathematics “two types of reasoning can be used; they are inductive and deductive reasoning” (Bluman, 2011). Inductive reasoning helps you arrive at a general conclusion based on what you are observing with the equation. Deductive reasoning allows you to come to a conclusion based on previously accepted statements. The most direct approach to an answer for an equation will be to these two types of reasoning. As we look at an arithmetic sequence, it is important to use inductive and deductive reasoning to solve the equation in the most logical way. The mathematical approach to these two problems will be arithmetic or geometric sequencing.
The first problem, # 35 asks: “A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125; the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?” I used deductive reasoning and the arithmetic sequence to come up with my solution to this equation. It will cost $100.00 for the first 10 feet, $25.00 for each additional 10 feet, plus the original $100.00. So, it is fairly simple to figure this problem out. 100+125+150+175+200+225+250+275+300 = $1,800.00. The common difference in this arithmetic sequence is (25), the first term of this sequence (100) and the nth is equal to (9) however, we only add 25 8 more times because the 100 is already there and that is our first term.
The second question, # 37 asks: “A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years,...
Denise Guilbeault
MAT 126
Instructor Stepp
May 21, 2012
Week 1 Assignment 1
This was an A+ paper...got 100
Real Life Application Problems
The assignment at hand requires me to solve two word problems that pertain to real world applications. In mathematics “two types of reasoning can be used; they are inductive and deductive reasoning” (Bluman, 2011). Inductive reasoning helps you arrive at a general conclusion based on what you are observing with the equation. Deductive reasoning allows you to come to a conclusion based on previously accepted statements. The most direct approach to an answer for an equation will be to these two types of reasoning. As we look at an arithmetic sequence, it is important to use inductive and deductive reasoning to solve the equation in the most logical way. The mathematical approach to these two problems will be arithmetic or geometric sequencing.
The first problem, # 35 asks: “A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125; the next 10 feet will cost $150, etc. How much will it cost to build a 90 foot tower?” I used deductive reasoning and the arithmetic sequence to come up with my solution to this equation. It will cost $100.00 for the first 10 feet, $25.00 for each additional 10 feet, plus the original $100.00. So, it is fairly simple to figure this problem out. 100+125+150+175+200+225+250+275+300 = $1,800.00. The common difference in this arithmetic sequence is (25), the first term of this sequence (100) and the nth is equal to (9) however, we only add 25 8 more times because the 100 is already there and that is our first term.
The second question, # 37 asks: “A person deposited $500 in a savings account that pays 5% annual interest that is compounded yearly. At the end of 10 years,...