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.