Let w be the amount juan earned walking dogs then (2w-6) is the amount juan earned mowing lawns the total amount juan earned is w +(2w-6) or w-6 emma wrote the expression 2(3w-6) to represent the amount of the money that juan spent is she correct explain

The expression written by Emma  to represent the amount of the money that Juan earned  is WRONG.

Step-by-step explanation:

Here, the amount earned by Juan by walking dogs = w

The amount earned byJuan lowing lawns  = (2w - 6)

Now, the total amount earned by Juan

= Amount  earned from (Mowing Lawn +  Walking dogs)

= w +  (2 w - 6)

On further simplification, we get:

w +  (2 w - 6)  =  w +  2w - 6   =  3w-6 =  3(w-2)

So, the total amount earned by Juan = 3(w-2)

Now, the expression written by Emma = 2(3w-6)

and 2(3w-6) ≠ 3(w-2)

Hence, the expression written by Emma  to represent the amount of the money that Juan earned  is WRONG.

thus, the first answer choice, y = sec x, is the correct one