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.

A) 55
B) 4x
C) 600
D) 55(4x)

Answer 1

The algebraic expression breaks down into a cost per meter of fence, the total length of the fence, a fixed labor fee, and the total cost of the fencing material.

Step-by-step explanation:

The algebraic expression 55 (4x) + 600 represents the cost in dollars to build a fence around a square park with side length x meters.

55 represents the cost per meter of fencing material, 4x represents the total length of fencing material needed (since a square has four equal sides, each of side length x), 600 is the fixed labor fee, and 55(4x) represents the total cost of the fencing material required for all four sides of the park.