Devin has started a lawn care service. he will charge a mowing fee of $10 plus $3 per square yard of lawn. he also offers trimming service, at $8 plus $1 per yard of the perimeter. using x for the length of the lawn and y for the width of the lawn which part of the expression 10+3xy+8+(2x+2y) represents the charge for the mowing?
a. 8+(2x+2y)
b. (2x+2y)
c. 3xy
d. 10+3xy

Option D is correct.

Charge for the mowing = 10 + 3xy

Step-by-step explanation:

here, x represents the length of the lawn and y represents the width of the lawn.

= xy square yard

Perimeter of lawn = 2 (x+y) = 2x + 2y yard

As per the statement:

Devin has started a lawn care service. He will charge a mowing fee of $10 plus $3 per square yard of lawn.

then;

Charge for mowing =

                               = 10 + 3xy

Also, he offers trimming service at $8 plus $1 per yard of the perimeter.

⇒ Trimming service = = 8 + (2x +2y)

Therefore, from the expression: 10 + 3xy +8 + (2x+2y)

10 + 3xy represents the charge for the mowing.