The partial factorization of x2 – x – 12 is modeled with algebra tiles. An algebra tile configuration. 4 tiles are in the Factor
1 spot: 1 is labeled + x, 3 are labeled +. 1 tile is in the Factor 2 spot and is labeled + x. 20 tiles are in the Product spot: 1 is labeled + x squared, 3 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 12 tiles below the + x tiles are labeled negative. Which unit tiles are needed to complete the factorization? 3 negative unit tiles 3 positive unit tiles 4 negative unit tiles 4 positive unit tiles
2 answers:
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Response:
a) Expense
b) Revenue from sales
c) Values table
d) Included
e) Breakeven point = 12.5 sheets
f) Earnings at 550 sheets = $1,950
In-depth analysis:
a) There is a fixed cost of $50 for the image.
Additionally, there is a variable cost of $16 for each sheet.
The total quantity purchased is 500 sheets.
Thus, the cost function can be established as:
b) Each sheet sells for $20, leading to:
c) Values table
d) Included
e) To avoid losses, the minimum number of sheets that must be sold is determined by the breakeven point (BEP), calculated by equating sales income to costs:
f) Profit is computed as the difference between sales income and the cost:
