Question

An artist plans to sell $300 of prints online each week. This month, she is within $22 of her goal.

Answer 1

The minimum and maximum amounts that the artist received for her products are 278 and 322

Part A: Define a variable and write an absolute value equation to represent the scenario.

Let the number of prints remaining be x.

The given parameters are:

Total = 300

Amount = 22 within her goal

So, we have the following absolute value equation

|x - 300| = 22

Part B: Solve the equation, showing all steps.

In (a), we have:

|x - 300| = 22

Remove the absolute bracket

x - 300 = 22 and x - 300 = -22

Add 300 to both sides

x = 322 and x = 278

Part C: What are the minimum and maximum amounts that the artist received for her products?

The minimum and maximum amounts that the artist received for her products are 278 and 322

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