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The slope of the equation y = 0.28x + 38,000 is 0.28. In this context, the slope represents the commission rate. It indicates that for every dollar Adam generates in total sales (x), he earns a commission rate of 0.28 (28 cents).
To find Adam's total sales if his total annual salary is $45,000, we can substitute the salary (y) into the equation and solve for x. The equation is:
45,000 = 0.28x + 38,000
First, subtract 38,000 from both sides:
45,000 - 38,000 = 0.28x
7,000 = 0.28x
Then, divide both sides by 0.28:
7,000 / 0.28 = x
25,000 = x
Therefore, Adam's total sales for the year were $25,000.