Question

Shannon is putting a fence around the garden,except where there is a gate that is 3 feet wide. One foot of the fence cost $43. The cost of the gate is $ 128. Write an expression that represents the total cost of the fence and the gate. Explain how you determined your expression. Enter your expression and your explanation in the space provided. Part C use your expression from part B to find the total cost, in dollars, of the fence and the gate

Answer 1

The expression representing the total cost of the fence and the gate is 43x + 128, where x is the number of feet of fencing needed, not including the gate. Each foot of the fence costs $43, and the gate costs a flat rate of $128.

Step-by-step explanation:

To write an expression representing the total cost of the fence and gate, we need to account for the per-foot cost of the fence and the flat cost of the gate. If we let x represent the total feet of fencing minus the 3 feet for the gate, then the cost of fencing would be 43x dollars (since each foot costs $43). We then add the flat cost of the gate, which is $128. Therefore, the expression representing the total cost is 43x + 128.

In part C, we use the expression to find the total cost. If we know the number of feet of fencing needed (x), we multiply it by 43 and then add 128 to obtain the total cost. It's important to note that we do not have the actual value of x, so we cannot provide a numeric total cost without more information.