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Algebra 1.1-1.2

by: Jason DeHaven

Algebra 1.1-1.2 Math 160

Jason DeHaven
GPA 3.8
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About this Document

This is what we covered today in my own look at how she said it in class.
Applied Mathematical Reasoning
Class Notes
Algebra, Distance formula Rewriting and Equation, The Compund Interest Formula, The Perimeter formula, Calculating BMI equation




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This 8 page Class Notes was uploaded by Jason DeHaven on Tuesday February 16, 2016. The Class Notes belongs to Math 160 at Marshall University taught by Puppalo-Cody in Winter 2016. Since its upload, it has received 26 views. For similar materials see Applied Mathematical Reasoning in Criminal Justice at Marshall University.

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Date Created: 02/16/16
ALGEBRA 1.1-1.2 MATHEMATIC MODEL AND FORMULAS 1.1 Mathematic Model: a mathematical structure that approximates the important aspects of a given situation ­ may be an equation, a set of equations, a graph, table, chart, or other similar  mathematical structures Causal Model: based on the best information and theories currently available at the  time. This allows for predications or educated guesses to be made that are often close  or exact to the actual results observed. Descriptive Model: models to describe situations such as things being described  precisely if there are just a few simple variables that can be easily measured. An  example of this is The formula of a rectangle: Area = (length) (width) This shows the area of a rectangle and calculates the area precisely. If you sell 15 bunches of flowers you will sell one of the bunch for $2.  If you sell 5 bunches of flowers you will sell one of the bunch for $6 The formula is M=P(1+i)^2. P= principal, n= years, and i= interest rate In the numbers given, $1000 = Principal, 10% =interest rate, and 50 years So the equation would look like this, M=1000(1+.1)^50, This comes out to equal  117,390.85. To get the other values on the table plug in a different amount of years. In the numbers here, $1000 = Principal, 10% =interest rate, and 30 years So the equation would look like this, M=1000(1+.1)^30, This comes out to equal  17,449.40. To get the other values on the table plug in a different amount of years. 1.2 A formula is an equation that contains more than one variable. There are many  standard formulas to solve problems. The Distance Formula is  Distance= (rate)(time)                               or                                 D=(r)(t) For number 1,  You multiply the rate 60mph by the time 8 hours which gives you the distance of 480mi. For number 2, you divide the rate 60mph by the distance 600 which comes out to give  you the time of 10 hours. The Perimeter Formula is 2(Length) + 2(Width) = Perimeter             or                2(L) + 2(W) = P For this equation you plug in the 6 feet into the width and the 40 feet into the perimeter.  Then you 2(6) for the width to get 12. Following that you subtract the 12 by 40ft the  perimeter. Then you divide 28 by 2 to get the Length equaling out to be L=14ft. The Compound Interest Formula is Maturity Value = Payment( 1 +rate/months ) ^(months)(time) Or M= P(1 +r/n)^nt For this equation you would start out by plugging in the numbers, and dividing the  fraction as well as multiplying the exponent. The exponent is the (n)(t) beside the  parenthesis. Then you would add the number in the parenthesis. Then you would follow  up by multiplying the result of addition with you exponent. Followed up by multiplying  your perimeter by the number you just got to get 3129.49. BMI Calculation Formula is BMI= (Weight/Height^2)(703)               or                         BMI = (W/H^2)(703) For equation (a) your weight is 155 pound and your height is 5ft 10 inches tall.  To begin you would need to convert the feet to inches and add the remaining inches to  it as shown above. Then you would plug in your numbers to have BMI = (155/70^2)(703)         (multiply by the exponent) BMI = (155/4900)(703)         (divide 155 by 4900) BMI = (.0316)(703)                 (then multiply .0316 by 703) BMI = 22.2 Rewriting an Equation For this equation you follow as shown. Now try this equation: solve for v x=tv+20t­6t Don’t forget to subtract 20t­6t. Always get the same style variables if on the same side  of the equation combined. Subtract the14t to the other side. The divide by t. x=tv+20t­6t x=tv+14t x­14t=tv (x­14t)/(t)=v


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