Question

graphs of non-ratio relationships
real-world relationships

1. pieces of horizontal trim for windows must be 7 inches longer than the window width.

a. complete the table to show the horizontal trim lengths for the given window widths.
window width
(inches)\thorizontal trim length
(inches)
12\t
24\t
36\t
48\t
60\t
72\t
define the variables in this situation. identify the independent variable and the dependent variable.

Explanation:

Step1: Set up the relationship

Let $w$ = window width (inches), $t$ = trim length (inches). The formula is $t = w + 7$.

Step2: Calculate trim for 12-inch width

$t = 12 + 7$

Step3: Calculate trim for 24-inch width

$t = 24 + 7$

Step4: Calculate trim for 36-inch width

$t = 36 + 7$

Step5: Calculate trim for 48-inch width

$t = 48 + 7$

Step6: Calculate trim for 60-inch width

$t = 60 + 7$

Step7: Calculate trim for 72-inch width

$t = 72 + 7$

Step8: Define variables and types

Independent variable: window width (controls trim length). Dependent variable: trim length (depends on window width).

Answer:

Completed Table:

Window Width (inches)	Horizontal Trim Length (inches)
24	31
36	43
48	55
60	67
72	79

Variable Definitions:

• Independent variable: Window width (inches) - this is the variable that can be freely chosen/changed.
• Dependent variable: Horizontal trim length (inches) - this variable's value depends on the window width.