Explanation:
The function y = 3x represents the area y of a rectangle with dimensions x inches by 3 inches. To find the area of the rectangle, we multiply the length (x) by the width (3).
To create an input-output table for this function, we can choose values for x and calculate the corresponding values for y.
Here is the input-output table for the function y = 3x:
| x (inches) | y (area) |
|------------|----------|
| 1 | 3 |
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| 5 | 15 |
| 6 | 18 |
| 7 | 21 |
In this table, we start with x = 1 and calculate y = 3x. For example, when x = 1, y = 3(1) = 3. When x = 2, y = 3(2) = 6, and so on.
By substituting different values of x into the equation y = 3x, we can determine the corresponding areas (y) of the rectangles with dimensions x inches by 3 inches.