Question

Duncan shares 20 percent of all of his sales commissions with his personal assistant. If Duncan earns x dollars in commissions and gives his assistant y dollars, which equation correctly models this situation?

Answer 1

x/y, y would be the 20 percent of course and x is the money earned 

Answer 2

The equation which correctly models the situation is : y = 0.2x

Explanation:

Let the earnings of Duncan in dollars be x

Percentage of his earnings which he shares with his assistant = 20%

Amount shared in dollars = 20% of x

⇒ Amount shared in dollars = $0.2·x

The amount shared is given to assistant.

So, Amount which assistant receives from Duncan = $0.2x

Now, In question it is given Duncan gives his assistant $y

⇒ y = 0.2x

Hence, The equation which correctly models the situation is : y = 0.2x