Question

sam is building a square patio out of paving stones for a customer. the customer chose square paving stones that measure 2 feet on each side. sam wants to show the customer a graph of different options for the size of the patio. sams graph will represent the relationship shown in the table below. determine the most appropriate labels and scales for the axes of the graph. use the drop - down menus to complete the statements.

x	3	5	6	7
y	36	100	144	196

click the arrows to choose an answer from each menu.
the x - axis should be labeled choose_. start at choose_. an appropriate scale could
the y - axis should be labeled choose_. start at choose_. an appropriate scale could

Explanation:

Step1: Analyze the data

The x - values (3, 5, 6, 7) seem to represent the number of paving - stones along one side of the square patio. The y - values (36, 100, 144, 196) are the areas of the square patios. Since the area of a square is \(A = s^2\), and if the side - length of each paving stone is 2 feet, and the number of paving stones along one side is \(n\), then the side - length of the patio \(s = 2n\) and the area \(A=(2n)^2 = 4n^2\).

Step2: Determine x - axis label

The x - axis represents the number of paving stones along one side of the square patio. So, it should be labeled "Number of Paving Stones Along One Side".

Step3: Determine x - axis start and scale

The smallest x - value is 3. So, the x - axis can start at 3. A reasonable scale could be 1 (incrementing by 1 for each unit on the x - axis).

Step4: Determine y - axis label

The y - values represent the area of the square patio. So, the y - axis should be labeled "Area of the Patio (square feet)".

Step5: Determine y - axis start and scale

The smallest y - value is 36. So, the y - axis can start at 30. A reasonable scale could be 10 (incrementing by 10 for each unit on the y - axis).

Answer:

The x - axis should be labeled "Number of Paving Stones Along One Side", start at 3. An appropriate scale could be 1.
The y - axis should be labeled "Area of the Patio (square feet)", start at 30. An appropriate scale could be 10.