Question

Create a table that shows the length and width of at least 3 different rectangles that also have a perimeter of 28 units. describe the relationship between the columns of your table. Write an equation to represent the relationship. Identify the independent and dependent variables. Plot the values in your table as points on the graph. make sure to label the axes.L: 0, 10, 20, 30, 40W:0, 4, 8, 12, 16Expression: 10x+4y28=10x+4yAm I correct?

Answer 1

Given:

The perimeter of the rectangle is 28 units.

To create:

The table shows the length and width of at least 3 different rectangles that also have a perimeter of 28 units.

Step-by-step explanation:

Let x be the length of the rectangle.

Let y be the width of the rectangle.

Then the perimeter of the rectangle is,

`\begin{gathered} P=2(l+b) \\ 28=2(x+y) \\ x+y=(28)/(2) \\ x+y=14...........(1) \end{gathered}`

When x = 1, we get y = 13.

When x = 2, we get y = 12.

When x = 3, we get y = 11.

When x = 4, we get y = 10.

So, the table values are,

The relationship between the columns is,

When x increases by 1 unit, then y decreases by 1 unit.

The expression is,

`\begin{gathered} x+y=14\text{ \lparen or\rparen} \\ y=14-x \end{gathered}`

Here, x is the independent variable and y is the dependent variable.

The graph is,