Final answer:
The correct equation to determine this year's total sales amount, given that last year's 240,000 dollars were 60% of this year's sales, is 240,000/x = 60/100. When solved, it reveals this year's sales amount to be 400,000 dollars. So the correct option is A.
Step-by-step explanation:
The salesperson's last year's sales were 240,000 dollars, which represented 60% of this year's sales. To find this year's total sales amount, x, we are looking for an equation that states that 60% of this year's sales (x) is equal to the given sales value of 240,000.
The correct equation which represents this situation is:
A. 240,000/x = 60/100
This equation can be understood as follows: If x is this year's total sales, then 60% of x (which is 60/100 times x) equals 240,000 dollars. Simplifying the equation gives us:
x = 240,000 / (60/100)
When we solve this equation, we get x = 400,000 dollars as the total sales amount for this year.