Question

problems 1–2: write an equation that expresses the output as a function of the input. then determine the independent and dependent variables.

1. the perimeter, p, of a square with side length s:

equation:
independent variable:
dependent variable:

Explanation:

Step1: Define perimeter of square

A square has 4 equal sides, so perimeter is 4 times side length.
$p = 4s$

Step2: Identify independent variable

The input (controllable) variable is side length $s$.

Step3: Identify dependent variable

The output (depends on input) variable is perimeter $p$.

Answer:

Equation: $p = 4s$
Independent variable: $s$
Dependent variable: $p$