As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales. (a) Write a linear equation for your current monthly wage W1 in terms of your monthly sales S. (b) Write a linear equation for the monthly wage W2 of your new job offer in terms of the monthly sales S. (c) Use a graphing utility to graph both equations in the same viewing window. Find the point of intersection. What does the point of intersection represent? (d) You expect sales of $20,000 per month. Should you change jobs? Explain.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
As a salesperson, you receive a monthly salary of $2000, plus a commission of 7% of sales. You receive an offer for a new job at $2300 per month, plus a commission of 5% of sales.
(a) Write a linear equation for your current monthly wage W1 in terms of your monthly sales S.
(b) Write a linear equation for the monthly wage W2 of your new job offer in terms of the monthly sales S.
(c) Use a graphing utility to graph both equations in the same viewing window. Find the point of intersection. What does the point of intersection represent?
(d) You expect sales of $20,000 per month. Should you change jobs? Explain.
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