Pearson Algebra 1 Common Core, 2015
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Pearson Algebra 1 Common Core, 2015 View details
4. Applications of Linear Systems
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Exercise 1 Page 390

Let x represent the number of copies and y the total cost of printing. It costs $1.50 for printing each copy of a newsletter. On top of that a printer's fee of $450 is added. Let's write an expression for the total cost of making x prints. y=1.5 x+450We know that the revenue r is $3 for each newsletter sold. Using this information we can form a second equation. r=3 x Let's combine the equations to form a system of equations. y=1.5x+450 & (I) r=3x & (II) If they wants to break even the revenue has to be equal to the cost. In other words, r and y must be equal. y=1.5x+450 & (I) y=3x & (II) Let's solve this using the Substitution Method.
y=1.5x+450 & (I) y=3x & (II)
3x=1.5x+450 y=3x
1.5x=450 y=3x
x=300 y=3x
We only want to find how many copies need to be sold to break even. That number is 300.