Question

The algebraic expression 55 (4x) + 600 gives the cost in dollars to build a fence around a square park with side length x meters. The cost includes a fixed labor fee in addition to the cost of the fencing material. Interpret each of the following parts of the expression by matching it to its meaning. ​

Answer 1

The term 55 (4x) in the expression represents the variable cost of the fencing material based on the perimeter of the square park, while the number 600 is the fixed labor fee added to the total cost.

Step-by-step explanation:

The algebraic expression 55 (4x) + 600 represents the cost in dollars to build a fence around a square park, where x is the side length in meters. In this expression:

• The term 55 (4x) represents the variable cost, which means it is the cost of the fencing material that depends on the perimeter of the park. Because the park is square, its perimeter is 4 times the side length x, and at 55 dollars per meter, this part of the cost increases with the size of the park.
• The number 600 represents the fixed cost, which is likely the labor fee. This fee doesn't change regardless of the size of the park.

So the overall cost consists of a fixed labor fee plus the variable cost of the materials based on the perimeter of the square park.