Final answer:
The salesperson must sell approximately $1,466,666.67 worth of products to earn a total of $95,000 when combining his base salary and commission.
Step-by-step explanation:
To find out how much the salesperson needs to sell to earn $95,000, we will set up an equation. We know the base salary is $51,000 and the commission is 3%. This means that in addition to the base salary, he must earn $95,000 - $51,000 = $44,000 in commission.
To represent his total sales, we'll let 'x' be the amount he needs to sell. The equation to represent this situation is:
0.03 * x = $44,000
To solve for 'x', we divide both sides of the equation by 0.03:
x = $44,000 / 0.03
x = $1,466,666.67
Therefore, the salesperson must sell approximately $1,466,666.67 worth of products to earn a total of $95,000 with his base salary and commission.