Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Luca wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Luca could use a printer who charges a setup fee of $38 and $5 for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of $34 and $9 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?The cost is $____ for ____ copies.
Q. Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Luca wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Luca could use a printer who charges a setup fee of $38 and $5 for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of $34 and $9 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?The cost is $____ for ____ copies.
Set up equations: Step 1: Set up equations for both printing options.Luca's cost using the first printer: Cost = $38 + $5 per copy.Let x be the number of copies, then the equation is C=5x+38.Luca's cost using the office supply store: Cost = $34 + $9 per copy.The equation is C=9x+34.
Equate equations: Step 2: Equate the two equations to find the number of copies where the costs are the same. 5x+38=9x+34
Solve for x: Step 3: Solve for x.5x−9x=34−38−4x=−4x=1
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