Question

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

Answer 1

Answer is D because he charge 10 $ mowing free +3 per square yard of lawn
lawn has dimensions:
x and y
Area= x*y=xy squar yard
so charge is
10 +3*Area=10+3xy

Answer 2

Option D is correct.

Charge for the mowing = 10 + 3xy

Explanation:

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

`\text{Area of lawn} = \text{length} * \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.