As a salesperson, you receive a monthly salary of $2000 plus a commission on 7% of
sales. You receive an offer for a new job at $2300 per month, plus a commission of 5%
of sales.
Use a graphing calculator to find the point of intersection. Interpret the meaning of the
point of intersection within the context of the problem.

Respuesta :

This point of intersection means that both the new and old job would have the same total monthly salary of $3050 if 15000 sales are made.

Let x represent the number of sales and y represent the total monthly salary.

Since he receive a monthly salary of $2000 plus a commission on 7% of  sales, hence:

y = 7% of x + 2000

y = 0.07x + 2000     (1)

The new job at $2300 per month, plus a commission of 5%  of sales, hence:

y = 5% of x + 2300

y = 0.05x + 2300      (2)

Plotting equations 1 and 2 using geogebra graphing calculator. The graph is attached.

The point of intersection is at (15000, 3050).

This point of intersection means that both the new and old job would have the same total monthly salary of $3050 if 15000 sales are made.

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