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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.Lamar wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Lamar could use a printer who charges a setup fee of and for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of and 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.
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Q. Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.Lamar wrote a business plan for an entrepreneurship class, and now he has to make bound copies. Lamar could use a printer who charges a setup fee of and for every copy printed. Another possibility is to go to the office supply store, where he could pay an up-front fee of and 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: Set up the equations to represent the cost for each option.Printer's cost: Setup fee () + per copyOffice supply store's cost: Setup fee () + per copyLet be the number of copies, and be the total cost for both options.Equation for the printer's cost: Equation for the office supply store's cost:
- Set costs equal: Since the costs are equivalent, we can set the two equations equal to each other to find the number of copies.
- Solve for x: Solve for x by isolating the variable on one side.Subtract from both sides:Subtract from both sides:
- Substitute into equation: Now that we have the number of copies (), we can find the total cost () by substituting back into either of the original equations.Using the printer's cost equation:
- Calculate total cost: Calculate the total cost.
