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Linear Equations - Weight of Envelope











































A half ounce envelope containing 40 sheets of paper weighs 6.9 ounces.

Write a linear equation that expresses total weight in ounces of a envelope as a function of x, the number of sheets of paper it contains.

Comments for Linear Equations - Weight of Envelope

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Apr 11, 2013
Weight in Ounces
by: Staff



Answer

Part I


The slope intercept form of a linear equation is shown below:

The Slope Intercept Form of a Linear Equation will be the format used to solve this problem




m = slope

b = y-intercept

applying the concept to the envelope and paper problem


T = equivalent to y = total weight of envelope and paper

E = equivalent to the y-intercept, b = weight of empty envelope = ½ ounce

P = equivalent to the slope, m = weight of individual sheet of paper

x = number of sheets of paper contained in the envelope

Linear equation that expresses total weight in ounces of a envelope as a function of x





solve for P


Substitute the following values in the Linear Equation:

E = 0.5 ounces

T = 6.9 ounces

x = 40 sheets

Substitute the known values of E, T, and x into the Linear Equation





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Apr 11, 2013
Weight in Ounces
by: Staff


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Part II


subtract 0.5 from each side of the equation

Subtract 0.5 from each side of the equation





Divide each side of the equation by 40

Divide each side of the equation by 40




The final equation is:

Final Linear Equation




A graph of this equation is shown below:

Graph of the final linear equation









Thanks for writing.

Staff
www.solving-math-problems.com



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