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a salesperson's monthly income in dollars as a linear relationship to the sales they make in dollars a particular sales person makes $1,000 in sales and has the monthly income of $2,100. the same sales person made $3000 in sales and had a monthly income of $ a linear equation that displays the relationship between the income in the sales ​

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Final answer:

To find a linear equation that displays the relationship between the income and sales, we can use the formula y = mx + b, where y represents the monthly income, x represents the sales, m represents the slope, and b represents the y-intercept.

Step-by-step explanation:

To find a linear equation that displays the relationship between the income and sales, we can use the formula y = mx + b, where y represents the monthly income, x represents the sales, m represents the slope, and b represents the y-intercept.

Given the information that the salesperson makes $1,000 in sales and has a monthly income of $2,100, we can substitute these values into the equation to find the value of m and b. Substituting x=1000 and y=2100, we get 2100 = 1000m + b.

Using a similar method, we can find the equation when the sales are $3000 and the monthly income is another value. By solving the two equations simultaneously, we can find the values of m and b, and thus write the linear equation that represents the relationship between income and sales.

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