Answer:
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.
\(\text{Area of lawn} = \text{length} \times \text{width}\) = 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 = \(10 + 3 \cdot \text{Area of lawn}\)
= 10 + 3xy
Also, he offers trimming service at $8 plus $1 per yard of the perimeter.
⇒ Trimming service =\(8 + 1 \cdot \text{Perimeter}\) = 8 + (2x +2y)
Therefore, from the expression: 10 + 3xy +8 + (2x+2y)
10 + 3xy represents the charge for the mowing.
